252267864 has 128 divisors (see below), whose sum is σ = 705024000. Its totient is φ = 74853504.

The previous prime is 252267853. The next prime is 252267901. The reversal of 252267864 is 468762252.

252267864 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702517 + ... + 702875.

It is an arithmetic number, because the mean of its divisors is an integer number (5508000).

Almost surely, 2^252267864 is an apocalyptic number.

252267864 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 252267864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352512000).

252267864 is an abundant number, since it is smaller than the sum of its proper divisors (452756136).

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

252267864 is a wasteful number, since it uses less digits than its factorization.

252267864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 252267864 is about 15882.9425485330. The cubic root of 252267864 is about 631.8596801654.

The spelling of 252267864 in words is "two hundred fifty-two million, two hundred sixty-seven thousand, eight hundred sixty-four".