252309816 has 288 divisors, whose sum is σ = 850262400. Its totient is φ = 69284160.

The previous prime is 252309803. The next prime is 252309857. The reversal of 252309816 is 618903252.

252309816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10969981 + ... + 10970003.

It is an arithmetic number, because the mean of its divisors is an integer number (2952300).

Almost surely, 2^252309816 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 252309816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425131200).

252309816 is an abundant number, since it is smaller than the sum of its proper divisors (597952584).

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

252309816 is a wasteful number, since it uses less digits than its factorization.

252309816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 252309816 is about 15884.2631557148. The cubic root of 252309816 is about 631.8947041906.

The spelling of 252309816 in words is "two hundred fifty-two million, three hundred nine thousand, eight hundred sixteen".