252724608 has 96 divisors (see below), whose sum is σ = 730360800. Its totient is φ = 83880960.

The previous prime is 252724597. The next prime is 252724639. The reversal of 252724608 is 806427252.

252724608 is a `hidden beast` number, since 2 + 5 + 27 + 24 + 608 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496258 + ... + 496766.

It is an arithmetic number, because the mean of its divisors is an integer number (7607925).

Almost surely, 2^252724608 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 252724608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365180400).

252724608 is an abundant number, since it is smaller than the sum of its proper divisors (477636192).

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

252724608 is a wasteful number, since it uses less digits than its factorization.

252724608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 252724608 is about 15897.3144901898. The cubic root of 252724608 is about 632.2407884501.

The spelling of 252724608 in words is "two hundred fifty-two million, seven hundred twenty-four thousand, six hundred eight".