252184320 has 144 divisors (see below), whose sum is σ = 895026720. Its totient is φ = 67239936.

The previous prime is 252184313. The next prime is 252184327. The reversal of 252184320 is 23481252.

It is an interprime number because it is at equal distance from previous prime (252184313) and next prime (252184327).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252184327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30912 + ... + 38208.

Almost surely, 2^252184320 is an apocalyptic number.

252184320 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 252184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447513360).

252184320 is an abundant number, since it is smaller than the sum of its proper divisors (642842400).

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

252184320 is an equidigital number, since it uses as much as digits as its factorization.

252184320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 252184320 is about 15880.3123394976. The cubic root of 252184320 is about 631.7899210971.

The spelling of 252184320 in words is "two hundred fifty-two million, one hundred eighty-four thousand, three hundred twenty".