252675360 has 216 divisors, whose sum is σ = 1003311036. Its totient is φ = 57738240.

The previous prime is 252675349. The next prime is 252675383. The reversal of 252675360 is 63576252.

It is a happy number.

252675360 is a `hidden beast` number, since 2 + 526 + 75 + 3 + 60 = 666.

252675360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 246741264 + 5934096 = 15708^2 + 2436^2 .

It is a super-2 number, since 2×252675360² = 127689675102259200, 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68770 + ... + 72350.

Almost surely, 2^252675360 is an apocalyptic number.

252675360 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 252675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501655518).

252675360 is an abundant number, since it is smaller than the sum of its proper divisors (750635676).

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

252675360 is a wasteful number, since it uses less digits than its factorization.

252675360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 252675360 is about 15895.7654738613. The cubic root of 252675360 is about 632.1997178986.

The spelling of 252675360 in words is "two hundred fifty-two million, six hundred seventy-five thousand, three hundred sixty".