253523880 has 48 divisors (see below), whose sum is σ = 823953780. Its totient is φ = 67606272.

The previous prime is 253523867. The next prime is 253523899. The reversal of 253523880 is 88325352.

253523880 is a `hidden beast` number, since 2 + 53 + 523 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 252237924 + 1285956 = 15882^2 + 1134^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351757 + ... + 352476.

Almost surely, 2^253523880 is an apocalyptic number.

253523880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253523880 is an abundant number, since it is smaller than the sum of its proper divisors (570429900).

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

253523880 is a wasteful number, since it uses less digits than its factorization.

253523880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704250 (or 704243 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 253523880 is about 15922.4332311365. The cubic root of 253523880 is about 632.9065995777.

The spelling of 253523880 in words is "two hundred fifty-three million, five hundred twenty-three thousand, eight hundred eighty".