253440400 has 60 divisors (see below), whose sum is σ = 619268400. Its totient is φ = 99648640.

The previous prime is 253440389. The next prime is 253440413. The reversal of 253440400 is 4044352.

It is a happy number.

It is an unprimeable number.

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, 18231 + ... + 28969.

It is an arithmetic number, because the mean of its divisors is an integer number (10321140).

Almost surely, 2^253440400 is an apocalyptic number.

253440400 is a gapful number since it is divisible by the number (20) 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 253440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309634200).

253440400 is an abundant number, since it is smaller than the sum of its proper divisors (365828000).

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

253440400 is a wasteful number, since it uses less digits than its factorization.

253440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 10805 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 253440400 is about 15919.8115566737. The cubic root of 253440400 is about 632.8371244089.

Adding to 253440400 its reverse (4044352), we get a palindrome (257484752).

The spelling of 253440400 in words is "two hundred fifty-three million, four hundred forty thousand, four hundred".