252186480 has 320 divisors, whose sum is σ = 1069931520. Its totient is φ = 53167104.

The previous prime is 252186469. The next prime is 252186503. The reversal of 252186480 is 84681252.

252186480 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 8 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195919 + ... + 197201.

It is an arithmetic number, because the mean of its divisors is an integer number (3343536).

Almost surely, 2^252186480 is an apocalyptic number.

252186480 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 252186480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534965760).

252186480 is an abundant number, since it is smaller than the sum of its proper divisors (817745040).

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

252186480 is a wasteful number, since it uses less digits than its factorization.

252186480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 252186480 is about 15880.3803480899. The cubic root of 252186480 is about 631.7917248866.

The spelling of 252186480 in words is "two hundred fifty-two million, one hundred eighty-six thousand, four hundred eighty".