252468516 has 48 divisors (see below), whose sum is σ = 622540800. Its totient is φ = 79471392.

The previous prime is 252468499. The next prime is 252468641. The reversal of 252468516 is 615864252.

252468516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16015 + ... + 27593.

It is an arithmetic number, because the mean of its divisors is an integer number (12969600).

Almost surely, 2^252468516 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 252468516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311270400).

252468516 is an abundant number, since it is smaller than the sum of its proper divisors (370072284).

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

252468516 is a wasteful number, since it uses less digits than its factorization.

252468516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11688 (or 11686 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 252468516 is about 15889.2578807193. The cubic root of 252468516 is about 632.0271612799.

The spelling of 252468516 in words is "two hundred fifty-two million, four hundred sixty-eight thousand, five hundred sixteen".