253580976 has 320 divisors, whose sum is σ = 872087040. Its totient is φ = 69672960.

The previous prime is 253580969. The next prime is 253580981. The reversal of 253580976 is 679085352.

It is a happy number.

It is a super-2 number, since 2×253580976² = 128606622778225152, which contains 22 as substring.

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, 3473676 + ... + 3473748.

It is an arithmetic number, because the mean of its divisors is an integer number (2725272).

Almost surely, 2^253580976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253580976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436043520).

253580976 is an abundant number, since it is smaller than the sum of its proper divisors (618506064).

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

253580976 is a wasteful number, since it uses less digits than its factorization.

253580976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 253580976 is about 15924.2260722460. The cubic root of 253580976 is about 632.9541082158.

The spelling of 253580976 in words is "two hundred fifty-three million, five hundred eighty thousand, nine hundred seventy-six".