252285840 has 100 divisors (see below), whose sum is σ = 876248604. Its totient is φ = 67274496.

The previous prime is 252285823. The next prime is 252285851. The reversal of 252285840 is 48582252.

252285840 is a `hidden beast` number, since 2 + 52 + 28 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 224280576 = 5292^2 + 14976^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 252285795 and 252285804.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12987 + ... + 25946.

Almost surely, 2^252285840 is an apocalyptic number.

252285840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252285840 is an abundant number, since it is smaller than the sum of its proper divisors (623962764).

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

252285840 is a wasteful number, since it uses less digits than its factorization.

252285840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38958 (or 38943 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 252285840 is about 15883.5084285557. The cubic root of 252285840 is about 631.8746880749.

The spelling of 252285840 in words is "two hundred fifty-two million, two hundred eighty-five thousand, eight hundred forty".