255956400 has 270 divisors, whose sum is σ = 1033970652. Its totient is φ = 58464000.

The previous prime is 255956383. The next prime is 255956401. The reversal of 255956400 is 4659552.

255956400 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 5 + 640 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (255956401) 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 53 ways as a sum of consecutive naturals, for example, 175675 + ... + 177125.

Almost surely, 2^255956400 is an apocalyptic number.

255956400 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 255956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516985326).

255956400 is an abundant number, since it is smaller than the sum of its proper divisors (778014252).

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

255956400 is a wasteful number, since it uses less digits than its factorization.

255956400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 255956400 is about 15998.6374419824. The cubic root of 255956400 is about 634.9243715084.

The spelling of 255956400 in words is "two hundred fifty-five million, nine hundred fifty-six thousand, four hundred".