253316400 has 60 divisors (see below), whose sum is σ = 811460712. Its totient is φ = 67550720.

The previous prime is 253316389. The next prime is 253316431. The reversal of 253316400 is 4613352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 104349 + ... + 106748.

Almost surely, 2^253316400 is an apocalyptic number.

253316400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253316400 is an abundant number, since it is smaller than the sum of its proper divisors (558144312).

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

253316400 is a wasteful number, since it uses less digits than its factorization.

253316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211118 (or 211107 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 253316400 is about 15915.9165617315. The cubic root of 253316400 is about 632.7338988184.

Adding to 253316400 its reverse (4613352), we get a palindrome (257929752).

The spelling of 253316400 in words is "two hundred fifty-three million, three hundred sixteen thousand, four hundred".