256204400 has 60 divisors (see below), whose sum is σ = 623027832. Its totient is φ = 101233920.

The previous prime is 256204397. The next prime is 256204409. The reversal of 256204400 is 4402652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256204409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29342 + ... + 37058.

Almost surely, 2^256204400 is an apocalyptic number.

256204400 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 256204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311513916).

256204400 is an abundant number, since it is smaller than the sum of its proper divisors (366823432).

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

256204400 is a wasteful number, since it uses less digits than its factorization.

256204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 256204400 is about 16006.3862255039. The cubic root of 256204400 is about 635.1293679010.

The spelling of 256204400 in words is "two hundred fifty-six million, two hundred four thousand, four hundred".