252364820 has 24 divisors (see below), whose sum is σ = 536354784. Its totient is φ = 99729056.

The previous prime is 252364811. The next prime is 252364829. The reversal of 252364820 is 28463252.

It is an interprime number because it is at equal distance from previous prime (252364811) and next prime (252364829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252364829) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 74354 + ... + 77673.

It is an arithmetic number, because the mean of its divisors is an integer number (22348116).

Almost surely, 2^252364820 is an apocalyptic number.

252364820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252364820 is an abundant number, since it is smaller than the sum of its proper divisors (283989964).

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

252364820 is a wasteful number, since it uses less digits than its factorization.

252364820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152119 (or 152117 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 252364820 is about 15885.9944605303. The cubic root of 252364820 is about 631.9406189202.

The spelling of 252364820 in words is "two hundred fifty-two million, three hundred sixty-four thousand, eight hundred twenty".