252466120 has 32 divisors (see below), whose sum is σ = 575836920. Its totient is φ = 99601920.

The previous prime is 252466103. The next prime is 252466121. The reversal of 252466120 is 21664252.

It can be written as a sum of positive squares in 4 ways, for example, as 251729956 + 736164 = 15866^2 + 858^2 .

It is not an unprimeable number, because it can be changed into a prime (252466121) 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, 40311 + ... + 46150.

Almost surely, 2^252466120 is an apocalyptic number.

252466120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252466120 is an abundant number, since it is smaller than the sum of its proper divisors (323370800).

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

252466120 is a wasteful number, since it uses less digits than its factorization.

252466120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86545 (or 86541 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 252466120 is about 15889.1824836900. The cubic root of 252466120 is about 632.0251618995.

It can be divided in two parts, 2524 and 66120, that added together give a square (68644 = 262²).

The spelling of 252466120 in words is "two hundred fifty-two million, four hundred sixty-six thousand, one hundred twenty".