252205360 has 80 divisors (see below), whose sum is σ = 642101760. Its totient is φ = 91365120.

The previous prime is 252205339. The next prime is 252205381. The reversal of 252205360 is 63502252.

252205360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252205339) and next prime (252205381).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×252205360² = 127215087225459200, which contains 22 as substring.

It is an unprimeable number.

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, 407131 + ... + 407749.

It is an arithmetic number, because the mean of its divisors is an integer number (8026272).

Almost surely, 2^252205360 is an apocalyptic number.

252205360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252205360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321050880).

252205360 is an abundant number, since it is smaller than the sum of its proper divisors (389896400).

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

252205360 is a wasteful number, since it uses less digits than its factorization.

252205360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 252205360 is about 15880.9747811650. The cubic root of 252205360 is about 631.8074909051.

The spelling of 252205360 in words is "two hundred fifty-two million, two hundred five thousand, three hundred sixty".