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454495440 = 24357972789
BaseRepresentation
bin11011000101110…
…000110011010000
31011200012202112110
4123011300303100
51412322323230
6113033225320
714156101410
oct3305606320
91150182473
10454495440
11213607173
12108262240
1373211c19
144450c640
1529d7a4b0
hex1b170cd0

454495440 has 160 divisors (see below), whose sum is σ = 1627395840. Its totient is φ = 102776832.

The previous prime is 454495427. The next prime is 454495441. The reversal of 454495440 is 44594454.

It is a super-2 number, since 2×4544954402 = 413132209961587200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454495441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161566 + ... + 164354.

It is an arithmetic number, because the mean of its divisors is an integer number (10171224).

Almost surely, 2454495440 is an apocalyptic number.

454495440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454495440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813697920).

454495440 is an abundant number, since it is smaller than the sum of its proper divisors (1172900400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

454495440 is a wasteful number, since it uses less digits than its factorization.

454495440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 454495440 is about 21318.8986582328. The cubic root of 454495440 is about 768.8527582910.

The spelling of 454495440 in words is "four hundred fifty-four million, four hundred ninety-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 97 105 112 120 140 168 194 210 240 280 291 336 388 420 485 560 582 679 776 840 970 1164 1358 1455 1552 1680 1940 2037 2328 2716 2789 2910 3395 3880 4074 4656 5432 5578 5820 6790 7760 8148 8367 10185 10864 11156 11640 13580 13945 16296 16734 19523 20370 22312 23280 27160 27890 32592 33468 39046 40740 41835 44624 54320 55780 58569 66936 78092 81480 83670 97615 111560 117138 133872 156184 162960 167340 195230 223120 234276 270533 292845 312368 334680 390460 468552 541066 585690 669360 780920 811599 937104 1082132 1171380 1352665 1561840 1623198 1893731 2164264 2342760 2705330 3246396 3787462 4057995 4328528 4685520 5410660 5681193 6492792 7574924 8115990 9468655 10821320 11362386 12985584 15149848 16231980 18937310 21642640 22724772 28405965 30299696 32463960 37874620 45449544 56811930 64927920 75749240 90899088 113623860 151498480 227247720 454495440