252934020 has 72 divisors (see below), whose sum is σ = 781738776. Its totient is φ = 66173952.

The previous prime is 252934009. The next prime is 252934039. The reversal of 252934020 is 20439252.

252934020 is a `hidden beast` number, since 252 + 9 + 3 + 402 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 236482884 = 4056^2 + 15378^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3717 + ... + 22796.

It is an arithmetic number, because the mean of its divisors is an integer number (10857483).

Almost surely, 2^252934020 is an apocalyptic number.

252934020 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 252934020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390869388).

252934020 is an abundant number, since it is smaller than the sum of its proper divisors (528804756).

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

252934020 is a wasteful number, since it uses less digits than its factorization.

252934020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26581 (or 26576 counting only the distinct ones).

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

The square root of 252934020 is about 15903.8995218154. The cubic root of 252934020 is about 632.4153688053.

The spelling of 252934020 in words is "two hundred fifty-two million, nine hundred thirty-four thousand, twenty".