252338220 has 48 divisors (see below), whose sum is σ = 785053920. Its totient is φ = 67290048.

The previous prime is 252338213. The next prime is 252338227. The reversal of 252338220 is 22833252.

It is an interprime number because it is at equal distance from previous prime (252338213) and next prime (252338227).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (252338227) 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 15 ways as a sum of consecutive naturals, for example, 233107 + ... + 234186.

It is an arithmetic number, because the mean of its divisors is an integer number (16355290).

Almost surely, 2^252338220 is an apocalyptic number.

252338220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252338220 is an abundant number, since it is smaller than the sum of its proper divisors (532715700).

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

252338220 is a wasteful number, since it uses less digits than its factorization.

252338220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467311 (or 467303 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 252338220 is about 15885.1572230180. The cubic root of 252338220 is about 631.9184153353.

The spelling of 252338220 in words is "two hundred fifty-two million, three hundred thirty-eight thousand, two hundred twenty".