252451920 has 120 divisors (see below), whose sum is σ = 910414944. Its totient is φ = 57700608.

The previous prime is 252451891. The next prime is 252451943. The reversal of 252451920 is 29154252.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1027 + ... + 22493.

Almost surely, 2^252451920 is an apocalyptic number.

252451920 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 252451920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455207472).

252451920 is an abundant number, since it is smaller than the sum of its proper divisors (657963024).

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

252451920 is a wasteful number, since it uses less digits than its factorization.

252451920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21497 (or 21484 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 252451920 is about 15888.7356325165. The cubic root of 252451920 is about 632.0133122229.

The spelling of 252451920 in words is "two hundred fifty-two million, four hundred fifty-one thousand, nine hundred twenty".