256523400 has 144 divisors (see below), whose sum is σ = 984609600. Its totient is φ = 58631040.

The previous prime is 256523381. The next prime is 256523401. The reversal of 256523400 is 4325652.

256523400 is a `hidden beast` number, since 2 + 5 + 652 + 3 + 4 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (256523401) 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 35 ways as a sum of consecutive naturals, for example, 2421 + ... + 22779.

Almost surely, 2^256523400 is an apocalyptic number.

256523400 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 256523400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492304800).

256523400 is an abundant number, since it is smaller than the sum of its proper divisors (728086200).

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

256523400 is a wasteful number, since it uses less digits than its factorization.

256523400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20388 (or 20376 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 256523400 is about 16016.3478983194. The cubic root of 256523400 is about 635.3928583513.

The spelling of 256523400 in words is "two hundred fifty-six million, five hundred twenty-three thousand, four hundred".