256633260 has 72 divisors (see below), whose sum is σ = 778130640. Its totient is φ = 63168768.

The previous prime is 256633253. The next prime is 256633271. The reversal of 256633260 is 62336652.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2515 + ... + 22794.

It is an arithmetic number, because the mean of its divisors is an integer number (10807370).

Almost surely, 2^256633260 is an apocalyptic number.

256633260 is a gapful number since it is divisible by the number (20) 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 256633260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389065320).

256633260 is an abundant number, since it is smaller than the sum of its proper divisors (521497380).

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

256633260 is a wasteful number, since it uses less digits than its factorization.

256633260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25347 (or 25332 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 256633260 is about 16019.7771520081. Note that the first 3 decimals coincide. The cubic root of 256633260 is about 635.4835509182.

The spelling of 256633260 in words is "two hundred fifty-six million, six hundred thirty-three thousand, two hundred sixty".