252120460 has 24 divisors (see below), whose sum is σ = 534915360. Its totient is φ = 99807744.

The previous prime is 252120437. The next prime is 252120469. The reversal of 252120460 is 64021252.

252120460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252120460² = 127129452701223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252120469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63040 + ... + 66919.

It is an arithmetic number, because the mean of its divisors is an integer number (22288140).

Almost surely, 2^252120460 is an apocalyptic number.

252120460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252120460 is an abundant number, since it is smaller than the sum of its proper divisors (282794900).

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

252120460 is a wasteful number, since it uses less digits than its factorization.

252120460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130065 (or 130063 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 252120460 is about 15878.3015464501. The cubic root of 252120460 is about 631.7365877383.

The spelling of 252120460 in words is "two hundred fifty-two million, one hundred twenty thousand, four hundred sixty".