252579456 has 96 divisors (see below), whose sum is σ = 730718820. Its totient is φ = 83742720.

The previous prime is 252579401. The next prime is 252579461. The reversal of 252579456 is 654975252.

252579456 is a `hidden beast` number, since 2 + 525 + 79 + 4 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 250145856 + 2433600 = 15816^2 + 1560^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267946 + ... + 268886.

Almost surely, 2^252579456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365359410).

252579456 is an abundant number, since it is smaller than the sum of its proper divisors (478139364).

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

252579456 is a wasteful number, since it uses less digits than its factorization.

252579456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1179 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 252579456 is about 15892.7485351024. The cubic root of 252579456 is about 632.1197230860.

The spelling of 252579456 in words is "two hundred fifty-two million, five hundred seventy-nine thousand, four hundred fifty-six".