252584208 has 60 divisors (see below), whose sum is σ = 709030140. Its totient is φ = 83939328.

The previous prime is 252584207. The next prime is 252584209. The reversal of 252584208 is 802485252.

252584208 is a `hidden beast` number, since 2 + 52 + 584 + 20 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (252584207) and next prime (252584209).

It can be written as a sum of positive squares in 2 ways, for example, as 75481344 + 177102864 = 8688^2 + 13308^2 .

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

It is not an unprimeable number, because it can be changed into a prime (252584201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48348 + ... + 53316.

It is an arithmetic number, because the mean of its divisors is an integer number (11817169).

Almost surely, 2^252584208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252584208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354515070).

252584208 is an abundant number, since it is smaller than the sum of its proper divisors (456445932).

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

252584208 is a wasteful number, since it uses less digits than its factorization.

252584208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5327 counting only the distinct ones).

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

The square root of 252584208 is about 15892.8980365445. The cubic root of 252584208 is about 632.1236872697.

The spelling of 252584208 in words is "two hundred fifty-two million, five hundred eighty-four thousand, two hundred eight".