253383984 has 80 divisors (see below), whose sum is σ = 831216640. Its totient is φ = 72394560.

The previous prime is 253383971. The next prime is 253384009. The reversal of 253383984 is 489383352.

253383984 is a `hidden beast` number, since 2 + 533 + 8 + 39 + 84 = 666.

253383984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38872 + ... + 44919.

It is an arithmetic number, because the mean of its divisors is an integer number (10390208).

Almost surely, 2^253383984 is an apocalyptic number.

253383984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253383984 is an abundant number, since it is smaller than the sum of its proper divisors (577832656).

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

253383984 is a wasteful number, since it uses less digits than its factorization.

253383984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83815 (or 83803 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 253383984 is about 15918.0395777872. The cubic root of 253383984 is about 632.7901642706.

The spelling of 253383984 in words is "two hundred fifty-three million, three hundred eighty-three thousand, nine hundred eighty-four".