253092880 has 40 divisors (see below), whose sum is σ = 593669592. Its totient is φ = 100337664.

The previous prime is 253092869. The next prime is 253092937. The reversal of 253092880 is 88290352.

It can be written as a sum of positive squares in 4 ways, for example, as 17040384 + 236052496 = 4128^2 + 15364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4959 + ... + 23038.

Almost surely, 2^253092880 is an apocalyptic number.

253092880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253092880 is an abundant number, since it is smaller than the sum of its proper divisors (340576712).

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

253092880 is a wasteful number, since it uses less digits than its factorization.

253092880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28123 (or 28117 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 253092880 is about 15908.8931104587. The cubic root of 253092880 is about 632.5477412448.

The spelling of 253092880 in words is "two hundred fifty-three million, ninety-two thousand, eight hundred eighty".