256002264 has 144 divisors (see below), whose sum is σ = 813618000. Its totient is φ = 72503424.

The previous prime is 256002233. The next prime is 256002283. The reversal of 256002264 is 462200652.

256002264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 525429 + ... + 525915.

It is an arithmetic number, because the mean of its divisors is an integer number (5650125).

Almost surely, 2^256002264 is an apocalyptic number.

256002264 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 256002264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406809000).

256002264 is an abundant number, since it is smaller than the sum of its proper divisors (557615736).

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

256002264 is a wasteful number, since it uses less digits than its factorization.

256002264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 256002264 is about 16000.0707498436. The cubic root of 256002264 is about 634.9622925922.

The spelling of 256002264 in words is "two hundred fifty-six million, two thousand, two hundred sixty-four".