252616320 has 320 divisors, whose sum is σ = 986372640. Its totient is φ = 61102080.

The previous prime is 252616313. The next prime is 252616327. The reversal of 252616320 is 23616252.

252616320 is a `hidden beast` number, since 2 + 5 + 26 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (252616313) and next prime (252616327).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (252616327) 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 39 ways as a sum of consecutive naturals, for example, 570019 + ... + 570461.

Almost surely, 2^252616320 is an apocalyptic number.

252616320 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 252616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493186320).

252616320 is an abundant number, since it is smaller than the sum of its proper divisors (733756320).

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

252616320 is a wasteful number, since it uses less digits than its factorization.

252616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 252616320 is about 15893.9082670059. The cubic root of 252616320 is about 632.1504742383.

The spelling of 252616320 in words is "two hundred fifty-two million, six hundred sixteen thousand, three hundred twenty".