256674432 has 256 divisors, whose sum is σ = 851316480. Its totient is φ = 66846720.

The previous prime is 256674427. The next prime is 256674461. The reversal of 256674432 is 234476652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1873468 + ... + 1873604.

It is an arithmetic number, because the mean of its divisors is an integer number (3325455).

Almost surely, 2^256674432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425658240).

256674432 is an abundant number, since it is smaller than the sum of its proper divisors (594642048).

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

256674432 is a wasteful number, since it uses less digits than its factorization.

256674432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 256674432 is about 16021.0621370744. The cubic root of 256674432 is about 635.5175329122.

The spelling of 256674432 in words is "two hundred fifty-six million, six hundred seventy-four thousand, four hundred thirty-two".