252980208 has 120 divisors (see below), whose sum is σ = 774217808. Its totient is φ = 76640256.

The previous prime is 252980201. The next prime is 252980239. The reversal of 252980208 is 802089252.

252980208 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252980201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124416 + ... + 126432.

Almost surely, 2^252980208 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 252980208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387108904).

252980208 is an abundant number, since it is smaller than the sum of its proper divisors (521237600).

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

252980208 is a wasteful number, since it uses less digits than its factorization.

252980208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 252980208 is about 15905.3515522292. The cubic root of 252980208 is about 632.4538613514.

The spelling of 252980208 in words is "two hundred fifty-two million, nine hundred eighty thousand, two hundred eight".