253008704 has 56 divisors (see below), whose sum is σ = 553946568. Its totient is φ = 113909760.

The previous prime is 253008659. The next prime is 253008719. The reversal of 253008704 is 407800352.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1849600 + 251159104 = 1360^2 + 15848^2 .

It is a congruent number.

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, 30404 + ... + 37820.

It is an arithmetic number, because the mean of its divisors is an integer number (9891903).

Almost surely, 2^253008704 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 253008704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276973284).

253008704 is an abundant number, since it is smaller than the sum of its proper divisors (300937864).

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

253008704 is a wasteful number, since it uses less digits than its factorization.

253008704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7483 (or 7473 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 253008704 is about 15906.2473261294. The cubic root of 253008704 is about 632.4776072519.

The spelling of 253008704 in words is "two hundred fifty-three million, eight thousand, seven hundred four".