252224928 has 240 divisors, whose sum is σ = 794255616. Its totient is φ = 78382080.

The previous prime is 252224899. The next prime is 252224939. The reversal of 252224928 is 829422252.

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

It is a junction number, because it is equal to n+sod(n) for n = 252224892 and 252224901.

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 39 ways as a sum of consecutive naturals, for example, 3455100 + ... + 3455172.

Almost surely, 2^252224928 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 252224928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397127808).

252224928 is an abundant number, since it is smaller than the sum of its proper divisors (542030688).

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

252224928 is a wasteful number, since it uses less digits than its factorization.

252224928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 252224928 is about 15881.5908523044. The cubic root of 252224928 is about 631.8238306177.

The spelling of 252224928 in words is "two hundred fifty-two million, two hundred twenty-four thousand, nine hundred twenty-eight".