252046080 has 720 divisors, whose sum is σ = 1121861664. Its totient is φ = 53084160.

The previous prime is 252046057. The next prime is 252046087. The reversal of 252046080 is 80640252.

252046080 is a `hidden beast` number, since 2 + 52 + 0 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (252046087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14826232 + ... + 14826248.

Almost surely, 2^252046080 is an apocalyptic number.

252046080 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 252046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560930832).

252046080 is an abundant number, since it is smaller than the sum of its proper divisors (869815584).

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

252046080 is a wasteful number, since it uses less digits than its factorization.

252046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

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

The square root of 252046080 is about 15875.9591836210. The cubic root of 252046080 is about 631.6744571349.

The spelling of 252046080 in words is "two hundred fifty-two million, forty-six thousand, eighty".