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455050440 = 233351332411
BaseRepresentation
bin11011000111111…
…000010011001000
31011201020221212000
4123013320103020
51412443103230
6113053151000
714163602445
oct3307702310
91151227760
10455050440
11213956149
1210848b460
1373377720
14446149cc
1529e39b60
hex1b1f84c8

455050440 has 128 divisors (see below), whose sum is σ = 1633564800. Its totient is φ = 112008960.

The previous prime is 455050417. The next prime is 455050447. The reversal of 455050440 is 44050554.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (455050447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166 + ... + 30245.

It is an arithmetic number, because the mean of its divisors is an integer number (12762225).

Almost surely, 2455050440 is an apocalyptic number.

455050440 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 455050440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816782400).

455050440 is an abundant number, since it is smaller than the sum of its proper divisors (1178514360).

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

455050440 is a wasteful number, since it uses less digits than its factorization.

455050440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32444 (or 32434 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 455050440 is about 21331.9113067723. The cubic root of 455050440 is about 769.1655884976.

The spelling of 455050440 in words is "four hundred fifty-five million, fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 32411 64822 97233 129644 162055 194466 259288 291699 324110 388932 421343 486165 583398 648220 777864 842686 875097 972330 1166796 1264029 1296440 1458495 1685372 1750194 1944660 2106715 2333592 2528058 2916990 3370744 3500388 3792087 3889320 4213430 4375485 5056116 5833980 6320145 7000776 7584174 8426860 8750970 10112232 11376261 11667960 12640290 15168348 16853720 17501940 18960435 22752522 25280580 30336696 35003880 37920870 45505044 50561160 56881305 75841740 91010088 113762610 151683480 227525220 455050440