256404192 has 48 divisors (see below), whose sum is σ = 734251392. Its totient is φ = 77697920.

The previous prime is 256404157. The next prime is 256404209. The reversal of 256404192 is 291404652.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 120348 + ... + 122459.

It is an arithmetic number, because the mean of its divisors is an integer number (15296904).

Almost surely, 2^256404192 is an apocalyptic number.

256404192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256404192 is an abundant number, since it is smaller than the sum of its proper divisors (477847200).

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

256404192 is a wasteful number, since it uses less digits than its factorization.

256404192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242831 (or 242823 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 256404192 is about 16012.6260182395. The cubic root of 256404192 is about 635.2944194463.

The spelling of 256404192 in words is "two hundred fifty-six million, four hundred four thousand, one hundred ninety-two".