252644580 has 72 divisors (see below), whose sum is σ = 773852352. Its totient is φ = 66712896.

The previous prime is 252644573. The next prime is 252644591. The reversal of 252644580 is 85446252.

It is a happy number.

252644580 is a `hidden beast` number, since 2 + 5 + 2 + 644 + 5 + 8 + 0 = 666.

252644580 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11727 + ... + 25353.

Almost surely, 2^252644580 is an apocalyptic number.

252644580 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 252644580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386926176).

252644580 is an abundant number, since it is smaller than the sum of its proper divisors (521207772).

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

252644580 is a wasteful number, since it uses less digits than its factorization.

252644580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13745 (or 13740 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 252644580 is about 15894.7972619974. The cubic root of 252644580 is about 632.1740460939.

The spelling of 252644580 in words is "two hundred fifty-two million, six hundred forty-four thousand, five hundred eighty".