252682560 has 336 divisors, whose sum is σ = 993532176. Its totient is φ = 58392576.

The previous prime is 252682537. The next prime is 252682571. The reversal of 252682560 is 65286252.

252682560 is a `hidden beast` number, since 2 + 526 + 82 + 56 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 254016 + 252428544 = 504^2 + 15888^2 .

It is a super-2 number, since 2×252682560² = 127696952256307200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636282 + ... + 636678.

It is an arithmetic number, because the mean of its divisors is an integer number (2956941).

Almost surely, 2^252682560 is an apocalyptic number.

252682560 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 252682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496766088).

252682560 is an abundant number, since it is smaller than the sum of its proper divisors (740849616).

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

252682560 is a wasteful number, since it uses less digits than its factorization.

252682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 252682560 is about 15895.9919476577. The cubic root of 252682560 is about 632.2057226983.

The spelling of 252682560 in words is "two hundred fifty-two million, six hundred eighty-two thousand, five hundred sixty".