252612864 has 288 divisors, whose sum is σ = 894781440. Its totient is φ = 68732928.

The previous prime is 252612859. The next prime is 252612869. The reversal of 252612864 is 468216252.

It is a happy number.

252612864 is a `hidden beast` number, since 2 + 526 + 128 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (252612859) and next prime (252612869).

It is a tau number, because it is divible by the number of its divisors (288).

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 (252612869) 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, 1112719 + ... + 1112945.

It is an arithmetic number, because the mean of its divisors is an integer number (3106880).

Almost surely, 2^252612864 is an apocalyptic number.

252612864 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 252612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447390720).

252612864 is an abundant number, since it is smaller than the sum of its proper divisors (642168576).

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

252612864 is a wasteful number, since it uses less digits than its factorization.

252612864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 252612864 is about 15893.7995457348. The cubic root of 252612864 is about 632.1475914448.

The spelling of 252612864 in words is "two hundred fifty-two million, six hundred twelve thousand, eight hundred sixty-four".