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497464440 = 2335113112157
BaseRepresentation
bin11101101001101…
…011010001111000
31021200001210220220
4131221223101320
52004322330230
6121210220040
715220243434
oct3551532170
91250053826
10497464440
11235895440
1211a724620
137c0a7c75
144a0d59c4
152da16d10
hex1da6b478

497464440 has 128 divisors (see below), whose sum is σ = 1680721920. Its totient is φ = 116697600.

The previous prime is 497464417. The next prime is 497464469. The reversal of 497464440 is 44464794.

It is a junction number, because it is equal to n+sod(n) for n = 497464392 and 497464401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34842 + ... + 46998.

It is an arithmetic number, because the mean of its divisors is an integer number (13130640).

Almost surely, 2497464440 is an apocalyptic number.

497464440 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 497464440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840360960).

497464440 is an abundant number, since it is smaller than the sum of its proper divisors (1183257480).

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

497464440 is a wasteful number, since it uses less digits than its factorization.

497464440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12213 (or 12209 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 497464440 is about 22303.9108678276. The cubic root of 497464440 is about 792.3566014796.

The spelling of 497464440 in words is "four hundred ninety-seven million, four hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 12157 13640 20460 24314 36471 40920 48628 60785 72942 97256 121570 133727 145884 182355 243140 267454 291768 364710 376867 401181 486280 534908 668635 729420 753734 802362 1069816 1130601 1337270 1458840 1507468 1604724 1884335 2005905 2261202 2674540 3014936 3209448 3768670 4011810 4145537 4522404 5349080 5653005 7537340 8023620 8291074 9044808 11306010 12436611 15074680 16047240 16582148 20727685 22612020 24873222 33164296 41455370 45224040 49746444 62183055 82910740 99492888 124366110 165821480 248732220 497464440