252977580 has 84 divisors (see below), whose sum is σ = 796560912. Its totient is φ = 67456800.

The previous prime is 252977567. The next prime is 252977587. The reversal of 252977580 is 85779252.

It is a happy number.

252977580 is a `hidden beast` number, since 2 + 529 + 77 + 58 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (252977587) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5905 + ... + 23255.

It is an arithmetic number, because the mean of its divisors is an integer number (9482868).

Almost surely, 2^252977580 is an apocalyptic number.

252977580 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 252977580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398280456).

252977580 is an abundant number, since it is smaller than the sum of its proper divisors (543583332).

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

252977580 is a wasteful number, since it uses less digits than its factorization.

252977580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17378 (or 17361 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 252977580 is about 15905.2689383110. The cubic root of 252977580 is about 632.4516713322.

The spelling of 252977580 in words is "two hundred fifty-two million, nine hundred seventy-seven thousand, five hundred eighty".