252666864 has 200 divisors, whose sum is σ = 797012480. Its totient is φ = 76982400.

The previous prime is 252666859. The next prime is 252666871. The reversal of 252666864 is 468666252.

252666864 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 39 ways as a sum of consecutive naturals, for example, 763179 + ... + 763509.

Almost surely, 2^252666864 is an apocalyptic number.

252666864 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 252666864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398506240).

252666864 is an abundant number, since it is smaller than the sum of its proper divisors (544345616).

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

252666864 is a wasteful number, since it uses less digits than its factorization.

252666864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 386 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 252666864 is about 15895.4982306312. The cubic root of 252666864 is about 632.1926320883.

The spelling of 252666864 in words is "two hundred fifty-two million, six hundred sixty-six thousand, eight hundred sixty-four".