253874401 has 16 divisors (see below), whose sum is σ = 284514048. Its totient is φ = 224553600.

The previous prime is 253874377. The next prime is 253874417. The reversal of 253874401 is 104478352.

It is a cyclic number.

It is not a de Polignac number, because 253874401 - 2¹⁵ = 253841633 is a prime.

It is a super-2 number, since 2×253874401² = 128904422966217602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253874431) 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 15 ways as a sum of consecutive naturals, for example, 92221 + ... + 94933.

It is an arithmetic number, because the mean of its divisors is an integer number (17782128).

Almost surely, 2^253874401 is an apocalyptic number.

It is an amenable number.

253874401 is a deficient number, since it is larger than the sum of its proper divisors (30639647).

253874401 is a wasteful number, since it uses less digits than its factorization.

253874401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952.

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 253874401 is about 15933.4365721899. The cubic root of 253874401 is about 633.1981498794.

The spelling of 253874401 in words is "two hundred fifty-three million, eight hundred seventy-four thousand, four hundred one".