252315360 has 288 divisors, whose sum is σ = 995615712. Its totient is φ = 57507840.

The previous prime is 252315347. The next prime is 252315373. The reversal of 252315360 is 63513252.

It is an interprime number because it is at equal distance from previous prime (252315347) and next prime (252315373).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 268812 + ... + 269748.

It is an arithmetic number, because the mean of its divisors is an integer number (3456999).

Almost surely, 2^252315360 is an apocalyptic number.

252315360 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 252315360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497807856).

252315360 is an abundant number, since it is smaller than the sum of its proper divisors (743300352).

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

252315360 is a wasteful number, since it uses less digits than its factorization.

252315360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 252315360 is about 15884.4376671005. The cubic root of 252315360 is about 631.8993323611.

The spelling of 252315360 in words is "two hundred fifty-two million, three hundred fifteen thousand, three hundred sixty".