253620400 has 60 divisors (see below), whose sum is σ = 664727544. Its totient is φ = 92224000.

The previous prime is 253620391. The next prime is 253620401. The reversal of 253620400 is 4026352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253620401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24421 + ... + 33220.

Almost surely, 2^253620400 is an apocalyptic number.

253620400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253620400 is an abundant number, since it is smaller than the sum of its proper divisors (411107144).

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

253620400 is a wasteful number, since it uses less digits than its factorization.

253620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57670 (or 57659 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 253620400 is about 15925.4638864932. The cubic root of 253620400 is about 632.9869081129.

Adding to 253620400 its reverse (4026352), we get a palindrome (257646752).

The spelling of 253620400 in words is "two hundred fifty-three million, six hundred twenty thousand, four hundred".