256452400 has 30 divisors (see below), whose sum is σ = 616127852. Its totient is φ = 102580800.

The previous prime is 256452397. The next prime is 256452401. The reversal of 256452400 is 4254652.

256452400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256452401) 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 5 ways as a sum of consecutive naturals, for example, 320166 + ... + 320965.

Almost surely, 2^256452400 is an apocalyptic number.

256452400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256452400 is an abundant number, since it is smaller than the sum of its proper divisors (359675452).

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

256452400 is a wasteful number, since it uses less digits than its factorization.

256452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641149 (or 641138 counting only the distinct ones).

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

The square root of 256452400 is about 16014.1312596094. The cubic root of 256452400 is about 635.3342320484.

The spelling of 256452400 in words is "two hundred fifty-six million, four hundred fifty-two thousand, four hundred".