252555264 has 312 divisors, whose sum is σ = 858678912. Its totient is φ = 70778880.

The previous prime is 252555263. The next prime is 252555283. The reversal of 252555264 is 462555252.

252555264 is a `hidden beast` number, since 25 + 25 + 552 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×252555264² = 127568322748219392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252555263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8146929 + ... + 8146959.

It is an arithmetic number, because the mean of its divisors is an integer number (2752176).

Almost surely, 2^252555264 is an apocalyptic number.

252555264 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 252555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429339456).

252555264 is an abundant number, since it is smaller than the sum of its proper divisors (606123648).

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

252555264 is a wasteful number, since it uses less digits than its factorization.

252555264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 252555264 is about 15891.9874150466. The cubic root of 252555264 is about 632.0995410163.

The spelling of 252555264 in words is "two hundred fifty-two million, five hundred fifty-five thousand, two hundred sixty-four".