252799872 has 128 divisors (see below), whose sum is σ = 732564000. Its totient is φ = 76775424.

The previous prime is 252799867. The next prime is 252799889. The reversal of 252799872 is 278997252.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444004 + ... + 444572.

Almost surely, 2^252799872 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 252799872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366282000).

252799872 is an abundant number, since it is smaller than the sum of its proper divisors (479764128).

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

252799872 is a wasteful number, since it uses less digits than its factorization.

252799872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 676 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 252799872 is about 15899.6815062441. The cubic root of 252799872 is about 632.3035448342.

The spelling of 252799872 in words is "two hundred fifty-two million, seven hundred ninety-nine thousand, eight hundred seventy-two".