256336400 has 60 divisors (see below), whose sum is σ = 619164612. Its totient is φ = 101982720.

The previous prime is 256336337. The next prime is 256336441. The reversal of 256336400 is 4633652.

It can be written as a sum of positive squares in 6 ways, for example, as 67108864 + 189227536 = 8192^2 + 13756^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77174 + ... + 80426.

Almost surely, 2^256336400 is an apocalyptic number.

256336400 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 256336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309582306).

256336400 is an abundant number, since it is smaller than the sum of its proper divisors (362828212).

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

256336400 is a wasteful number, since it uses less digits than its factorization.

256336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 256336400 is about 16010.5090487467. The cubic root of 256336400 is about 635.2384249439.

It can be divided in two parts, 256 and 336400, that multiplied together give a square (86118400 = 9280²).

The spelling of 256336400 in words is "two hundred fifty-six million, three hundred thirty-six thousand, four hundred".