252431680 has 28 divisors (see below), whose sum is σ = 601103700. Its totient is φ = 100972544.

The previous prime is 252431617. The next prime is 252431681. The reversal of 252431680 is 86134252.

It can be written as a sum of positive squares in 2 ways, for example, as 90022144 + 162409536 = 9488^2 + 12744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252431681) 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 3 ways as a sum of consecutive naturals, for example, 394105 + ... + 394744.

Almost surely, 2^252431680 is an apocalyptic number.

252431680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252431680 is an abundant number, since it is smaller than the sum of its proper divisors (348672020).

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

252431680 is an equidigital number, since it uses as much as digits as its factorization.

252431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788866 (or 788856 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 252431680 is about 15888.0986905293. The cubic root of 252431680 is about 631.9964214934.

The spelling of 252431680 in words is "two hundred fifty-two million, four hundred thirty-one thousand, six hundred eighty".