252858816 has 378 divisors, whose sum is σ = 924507168. Its totient is φ = 65802240.

The previous prime is 252858797. The next prime is 252858863. The reversal of 252858816 is 618858252.

252858816 is a `hidden beast` number, since 2 + 52 + 8 + 588 + 16 = 666.

252858816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (307200) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 8156721 + ... + 8156751.

Almost surely, 2^252858816 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 252858816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462253584).

252858816 is an abundant number, since it is smaller than the sum of its proper divisors (671648352).

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

252858816 is a wasteful number, since it uses less digits than its factorization.

252858816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 252858816 is about 15901.5350202425. The cubic root of 252858816 is about 632.3526846321.

The spelling of 252858816 in words is "two hundred fifty-two million, eight hundred fifty-eight thousand, eight hundred sixteen".