256963432 has 64 divisors (see below), whose sum is σ = 575812800. Its totient is φ = 106122240.

The previous prime is 256963423. The next prime is 256963477. The reversal of 256963432 is 234369652.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40423 + ... + 46345.

It is an arithmetic number, because the mean of its divisors is an integer number (8997075).

Almost surely, 2^256963432 is an apocalyptic number.

256963432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256963432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287906400).

256963432 is an abundant number, since it is smaller than the sum of its proper divisors (318849368).

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

256963432 is a wasteful number, since it uses less digits than its factorization.

256963432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5982 counting only the distinct ones).

The product of its digits is 233280, while the sum is 40.

The square root of 256963432 is about 16030.0789767237. The cubic root of 256963432 is about 635.7559616446.

The spelling of 256963432 in words is "two hundred fifty-six million, nine hundred sixty-three thousand, four hundred thirty-two".