252451320 has 64 divisors (see below), whose sum is σ = 826208640. Its totient is φ = 61200000.

The previous prime is 252451307. The next prime is 252451337. The reversal of 252451320 is 23154252.

252451320 is digitally balanced in base 2, because in such base 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 (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94306 + ... + 96945.

It is an arithmetic number, because the mean of its divisors is an integer number (12909510).

Almost surely, 2^252451320 is an apocalyptic number.

252451320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252451320 is an abundant number, since it is smaller than the sum of its proper divisors (573757320).

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

252451320 is a wasteful number, since it uses less digits than its factorization.

252451320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191276 (or 191272 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 252451320 is about 15888.7167512043. The cubic root of 252451320 is about 632.0128115226.

It can be divided in two parts, 25245 and 1320, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 252451320 in words is "two hundred fifty-two million, four hundred fifty-one thousand, three hundred twenty".