252937216 has 99 divisors (see below), whose sum is σ = 596579727. Its totient is φ = 106874880.

The previous prime is 252937211. The next prime is 252937219. The reversal of 252937216 is 612739252.

The square root of 252937216 is 15904.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (45360) is a multiple of the sum of its prime divisors (80).

It is not an unprimeable number, because it can be changed into a prime (252937211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3562461 + ... + 3562531.

Almost surely, 2^252937216 is an apocalyptic number.

252937216 is the 15904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252937216

252937216 is an abundant number, since it is smaller than the sum of its proper divisors (343642511).

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

252937216 is an frugal number, since it uses more digits than its factorization.

252937216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 80 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The cubic root of 252937216 is about 632.4180324657.

The spelling of 252937216 in words is "two hundred fifty-two million, nine hundred thirty-seven thousand, two hundred sixteen".