252439920 has 120 divisors (see below), whose sum is σ = 860595216. Its totient is φ = 66299904.

The previous prime is 252439907. The next prime is 252439921. The reversal of 252439920 is 29934252.

It is a tau number, because it is divible by the number of its divisors (120).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (252439921) 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, 45624 + ... + 50856.

Almost surely, 2^252439920 is an apocalyptic number.

252439920 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 252439920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430297608).

252439920 is an abundant number, since it is smaller than the sum of its proper divisors (608155296).

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

252439920 is a wasteful number, since it uses less digits than its factorization.

252439920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 252439920 is about 15888.3580020089. The cubic root of 252439920 is about 632.0032980654.

The spelling of 252439920 in words is "two hundred fifty-two million, four hundred thirty-nine thousand, nine hundred twenty".