252132480 has 128 divisors (see below), whose sum is σ = 893030400. Its totient is φ = 67230720.

The previous prime is 252132443. The next prime is 252132511. The reversal of 252132480 is 84231252.

252132480 is a `hidden beast` number, since 2 + 52 + 132 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9985 + ... + 24575.

It is an arithmetic number, because the mean of its divisors is an integer number (6976800).

Almost surely, 2^252132480 is an apocalyptic number.

252132480 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 252132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446515200).

252132480 is an abundant number, since it is smaller than the sum of its proper divisors (640897920).

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

252132480 is a wasteful number, since it uses less digits than its factorization.

252132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14619 (or 14601 counting only the distinct ones).

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

The square root of 252132480 is about 15878.6800458980. The cubic root of 252132480 is about 631.7466270573.

The spelling of 252132480 in words is "two hundred fifty-two million, one hundred thirty-two thousand, four hundred eighty".