253838664 has 128 divisors (see below), whose sum is σ = 735436800. Its totient is φ = 81034560.

The previous prime is 253838639. The next prime is 253838687. The reversal of 253838664 is 466838352.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 1118119 + ... + 1118345.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2^253838664 is an apocalyptic number.

253838664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253838664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367718400).

253838664 is an abundant number, since it is smaller than the sum of its proper divisors (481598136).

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

253838664 is a wasteful number, since it uses less digits than its factorization.

253838664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 253838664 is about 15932.3150860131. The cubic root of 253838664 is about 633.1684374651.

The spelling of 253838664 in words is "two hundred fifty-three million, eight hundred thirty-eight thousand, six hundred sixty-four".