252992160 has 216 divisors, whose sum is σ = 900215316. Its totient is φ = 67184640.

The previous prime is 252992153. The next prime is 252992219. The reversal of 252992160 is 61299252.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 252047376 + 944784 = 15876^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049640 + ... + 1049880.

Almost surely, 2^252992160 is an apocalyptic number.

252992160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450107658).

252992160 is an abundant number, since it is smaller than the sum of its proper divisors (647223156).

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

252992160 is an frugal number, since it uses more digits than its factorization.

252992160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 252992160 is about 15905.7272703891. The cubic root of 252992160 is about 632.4638212471.

The spelling of 252992160 in words is "two hundred fifty-two million, nine hundred ninety-two thousand, one hundred sixty".