252790560 has 144 divisors (see below), whose sum is σ = 941129280. Its totient is φ = 61278720.

The previous prime is 252790553. The next prime is 252790583. The reversal of 252790560 is 65097252.

252790560 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×252790560² = 127806134450227200, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7861 + ... + 23819.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2^252790560 is an apocalyptic number.

252790560 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 252790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

252790560 is an abundant number, since it is smaller than the sum of its proper divisors (688338720).

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

252790560 is a wasteful number, since it uses less digits than its factorization.

252790560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15991 (or 15980 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 252790560 is about 15899.3886674928. The cubic root of 252790560 is about 632.2957810079.

The spelling of 252790560 in words is "two hundred fifty-two million, seven hundred ninety thousand, five hundred sixty".