256873632 has 48 divisors (see below), whose sum is σ = 675118080. Its totient is φ = 85519872.

The previous prime is 256873627. The next prime is 256873633. The reversal of 256873632 is 236378652.

It is a happy number.

256873632 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (256873633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153633 + ... + 155295.

It is an arithmetic number, because the mean of its divisors is an integer number (14064960).

Almost surely, 2^256873632 is an apocalyptic number.

It is an amenable number.

256873632 is an abundant number, since it is smaller than the sum of its proper divisors (418244448).

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

256873632 is a wasteful number, since it uses less digits than its factorization.

256873632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3277 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 256873632 is about 16027.2777476401. The cubic root of 256873632 is about 635.6818946374.

The spelling of 256873632 in words is "two hundred fifty-six million, eight hundred seventy-three thousand, six hundred thirty-two".