256212264 has 128 divisors (see below), whose sum is σ = 840729600. Its totient is φ = 63037440.

The previous prime is 256212263. The next prime is 256212277. The reversal of 256212264 is 462212652.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (256212263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31464 + ... + 38760.

It is an arithmetic number, because the mean of its divisors is an integer number (6568200).

Almost surely, 2^256212264 is an apocalyptic number.

256212264 is a gapful number since it is divisible by the number (24) 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 256212264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420364800).

256212264 is an abundant number, since it is smaller than the sum of its proper divisors (584517336).

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

256212264 is a wasteful number, since it uses less digits than its factorization.

256212264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7343 (or 7339 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 256212264 is about 16006.6318755696. The cubic root of 256212264 is about 635.1358661061.

The spelling of 256212264 in words is "two hundred fifty-six million, two hundred twelve thousand, two hundred sixty-four".