253991364 has 96 divisors (see below), whose sum is σ = 662323200. Its totient is φ = 75116160.

The previous prime is 253991341. The next prime is 253991383. The reversal of 253991364 is 463199352.

It is a happy number.

253991364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253991364² = 129023225973160992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1827207 + ... + 1827345.

It is an arithmetic number, because the mean of its divisors is an integer number (6899200).

Almost surely, 2^253991364 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 253991364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331161600).

253991364 is an abundant number, since it is smaller than the sum of its proper divisors (408331836).

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

253991364 is a wasteful number, since it uses less digits than its factorization.

253991364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 253991364 is about 15937.1065127896. The cubic root of 253991364 is about 633.2953756260.

The spelling of 253991364 in words is "two hundred fifty-three million, nine hundred ninety-one thousand, three hundred sixty-four".