255684974400 has 1008 divisors, whose sum is σ = 974263500288. Its totient is φ = 63498240000.

The previous prime is 255684974351. The next prime is 255684974459. The reversal of 255684974400 is 4479486552.

255684974400 is a `hidden beast` number, since 2 + 5 + 568 + 4 + 9 + 74 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×255684974400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2389579147 + ... + 2389579253.

Almost surely, 2^255684974400 is an apocalyptic number.

255684974400 is a gapful number since it is divisible by the number (20) 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 255684974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487131750144).

255684974400 is an abundant number, since it is smaller than the sum of its proper divisors (718578525888).

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

255684974400 is a wasteful number, since it uses less digits than its factorization.

255684974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 255684974400 in words is "two hundred fifty-five billion, six hundred eighty-four million, nine hundred seventy-four thousand, four hundred".