253585860 has 96 divisors (see below), whose sum is σ = 801360000. Its totient is φ = 59351040.

The previous prime is 253585823. The next prime is 253585873. The reversal of 253585860 is 68585352.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12516 + ... + 25764.

It is an arithmetic number, because the mean of its divisors is an integer number (8347500).

Almost surely, 2^253585860 is an apocalyptic number.

253585860 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 253585860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400680000).

253585860 is an abundant number, since it is smaller than the sum of its proper divisors (547774140).

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

253585860 is a wasteful number, since it uses less digits than its factorization.

253585860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13301 (or 13299 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 253585860 is about 15924.3794227593. The cubic root of 253585860 is about 632.9581717804.

The spelling of 253585860 in words is "two hundred fifty-three million, five hundred eighty-five thousand, eight hundred sixty".