252959660 has 48 divisors (see below), whose sum is σ = 564477984. Its totient is φ = 94891008.

The previous prime is 252959647. The next prime is 252959683. The reversal of 252959660 is 66959252.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106607 + ... + 108953.

It is an arithmetic number, because the mean of its divisors is an integer number (11759958).

Almost surely, 2^252959660 is an apocalyptic number.

252959660 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 252959660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282238992).

252959660 is an abundant number, since it is smaller than the sum of its proper divisors (311518324).

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

252959660 is a wasteful number, since it uses less digits than its factorization.

252959660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 44.

The square root of 252959660 is about 15904.7055929998. The cubic root of 252959660 is about 632.4367374639.

The spelling of 252959660 in words is "two hundred fifty-two million, nine hundred fifty-nine thousand, six hundred sixty".