256526400 has 168 divisors, whose sum is σ = 906580864. Its totient is φ = 63129600.

The previous prime is 256526393. The next prime is 256526407. The reversal of 256526400 is 4625652.

It is an interprime number because it is at equal distance from previous prime (256526393) and next prime (256526407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (256526407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60345 + ... + 64455.

Almost surely, 2^256526400 is an apocalyptic number.

256526400 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 256526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453290432).

256526400 is an abundant number, since it is smaller than the sum of its proper divisors (650054464).

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

256526400 is a wasteful number, since it uses less digits than its factorization.

256526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 256526400 is about 16016.4415523549. The cubic root of 256526400 is about 635.3953352808.

The spelling of 256526400 in words is "two hundred fifty-six million, five hundred twenty-six thousand, four hundred".