252913360 has 80 divisors (see below), whose sum is σ = 681599232. Its totient is φ = 85478400.

The previous prime is 252913357. The next prime is 252913361. The reversal of 252913360 is 63319252.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252913361) by changing a digit.

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, 36580 + ... + 42940.

Almost surely, 2^252913360 is an apocalyptic number.

252913360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

252913360 is the 7952-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252913360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340799616).

252913360 is an abundant number, since it is smaller than the sum of its proper divisors (428685872).

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

252913360 is a wasteful number, since it uses less digits than its factorization.

252913360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6446 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 252913360 is about 15903.2499823149. The cubic root of 252913360 is about 632.3981494830.

The spelling of 252913360 in words is "two hundred fifty-two million, nine hundred thirteen thousand, three hundred sixty".