253002904 has 64 divisors (see below), whose sum is σ = 610560000. Its totient is φ = 95385600.

The previous prime is 253002899. The next prime is 253002913. The reversal of 253002904 is 409200352.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12472 + ... + 25720.

It is an arithmetic number, because the mean of its divisors is an integer number (9540000).

Almost surely, 2^253002904 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 253002904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305280000).

253002904 is an abundant number, since it is smaller than the sum of its proper divisors (357557096).

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

253002904 is a wasteful number, since it uses less digits than its factorization.

253002904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13304 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 253002904 is about 15906.0650067828. The cubic root of 253002904 is about 632.4727742191.

The spelling of 253002904 in words is "two hundred fifty-three million, two thousand, nine hundred four".