252981360 has 160 divisors (see below), whose sum is σ = 877711680. Its totient is φ = 66972672.

The previous prime is 252981353. The next prime is 252981361. The reversal of 252981360 is 63189252.

252981360 is a `hidden beast` number, since 2 + 5 + 298 + 1 + 360 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252981361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373342 + ... + 374018.

It is an arithmetic number, because the mean of its divisors is an integer number (5485698).

Almost surely, 2^252981360 is an apocalyptic number.

252981360 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 252981360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438855840).

252981360 is an abundant number, since it is smaller than the sum of its proper divisors (624730320).

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

252981360 is a wasteful number, since it uses less digits than its factorization.

252981360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 860 counting only the distinct ones).

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

The square root of 252981360 is about 15905.3877664142. The cubic root of 252981360 is about 632.4548213550.

The spelling of 252981360 in words is "two hundred fifty-two million, nine hundred eighty-one thousand, three hundred sixty".