256254400 has 42 divisors (see below), whose sum is σ = 630549920. Its totient is φ = 102501120.

The previous prime is 256254391. The next prime is 256254409. The reversal of 256254400 is 4452652.

It is an interprime number because it is at equal distance from previous prime (256254391) and next prime (256254409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256254409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78480 + ... + 81679.

Almost surely, 2^256254400 is an apocalyptic number.

256254400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256254400 is an abundant number, since it is smaller than the sum of its proper divisors (374295520).

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

256254400 is a wasteful number, since it uses less digits than its factorization.

256254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160181 (or 160166 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 256254400 is about 16007.9480259026. The cubic root of 256254400 is about 635.1706817931.

The spelling of 256254400 in words is "two hundred fifty-six million, two hundred fifty-four thousand, four hundred".