252839880 has 160 divisors (see below), whose sum is σ = 862270200. Its totient is φ = 66438144.

The previous prime is 252839857. The next prime is 252839887. The reversal of 252839880 is 88938252.

252839880 is a `hidden beast` number, since 252 + 8 + 398 + 8 + 0 = 666.

252839880 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 4 ways, for example, as 205807716 + 47032164 = 14346^2 + 6858^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252839887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235986 + ... + 237054.

Almost surely, 2^252839880 is an apocalyptic number.

252839880 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 252839880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431135100).

252839880 is an abundant number, since it is smaller than the sum of its proper divisors (609430320).

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

252839880 is a wasteful number, since it uses less digits than its factorization.

252839880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 252839880 is about 15900.9395948793. The cubic root of 252839880 is about 632.3368991046.

The spelling of 252839880 in words is "two hundred fifty-two million, eight hundred thirty-nine thousand, eight hundred eighty".