256489600 has 48 divisors (see below), whose sum is σ = 633617370. Its totient is φ = 102594560.

The previous prime is 256489577. The next prime is 256489603. The reversal of 256489600 is 6984652.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 249134656 + 7354944 = 15784^2 + 2712^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (256489603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36877 + ... + 43276.

Almost surely, 2^256489600 is an apocalyptic number.

256489600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256489600 is an abundant number, since it is smaller than the sum of its proper divisors (377127770).

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

256489600 is an equidigital number, since it uses as much as digits as its factorization.

256489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80177 (or 80160 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 256489600 is about 16015.2926916744. The cubic root of 256489600 is about 635.3649502775.

The spelling of 256489600 in words is "two hundred fifty-six million, four hundred eighty-nine thousand, six hundred".