256264600 has 48 divisors (see below), whose sum is σ = 615049920. Its totient is φ = 99196800.

The previous prime is 256264531. The next prime is 256264601. The reversal of 256264600 is 6462652.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256264601) 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 11 ways as a sum of consecutive naturals, for example, 14467 + ... + 26866.

It is an arithmetic number, because the mean of its divisors is an integer number (12813540).

Almost surely, 2^256264600 is an apocalyptic number.

256264600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256264600 is an abundant number, since it is smaller than the sum of its proper divisors (358785320).

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

256264600 is a wasteful number, since it uses less digits than its factorization.

256264600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41380 (or 41371 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 256264600 is about 16008.2666144714. The cubic root of 256264600 is about 635.1791091671.

The spelling of 256264600 in words is "two hundred fifty-six million, two hundred sixty-four thousand, six hundred".