253368504 has 48 divisors (see below), whose sum is σ = 690448200. Its totient is φ = 83934144.

The previous prime is 253368503. The next prime is 253368509. The reversal of 253368504 is 405863352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253368503) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 942 + ... + 22530.

Almost surely, 2^253368504 is an apocalyptic number.

253368504 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 253368504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345224100).

253368504 is an abundant number, since it is smaller than the sum of its proper divisors (437079696).

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

253368504 is a wasteful number, since it uses less digits than its factorization.

253368504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21764 (or 21757 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 253368504 is about 15917.5533295793. The cubic root of 253368504 is about 632.7772776482. Note that the first 3 decimals are identical.

The spelling of 253368504 in words is "two hundred fifty-three million, three hundred sixty-eight thousand, five hundred four".