497156400 has 240 divisors, whose sum is σ = 1906162720. Its totient is φ = 122342400.

The previous prime is 497156399. The next prime is 497156419. The reversal of 497156400 is 4651794.

497156400 is a `hidden beast` number, since 4 + 9 + 7 + 1 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138630 + ... + 142170.

Almost surely, 2^497156400 is an apocalyptic number.

497156400 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 497156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953081360).

497156400 is an abundant number, since it is smaller than the sum of its proper divisors (1409006320).

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

497156400 is a wasteful number, since it uses less digits than its factorization.

497156400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 497156400 is about 22297.0042830870. The cubic root of 497156400 is about 792.1930199888.

The spelling of 497156400 in words is "four hundred ninety-seven million, one hundred fifty-six thousand, four hundred".