401327253 has 48 divisors (see below), whose sum is σ = 646663680. Its totient is φ = 238673952.

The previous prime is 401327249. The next prime is 401327273. The reversal of 401327253 is 352723104.

401327253 is a `hidden beast` number, since 401 + 3 + 2 + 7 + 253 = 666.

It is not a de Polignac number, because 401327253 - 2² = 401327249 is a prime.

It is a super-2 number, since 2×401327253² = 322127128001052018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401327203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262750 + ... + 264272.

It is an arithmetic number, because the mean of its divisors is an integer number (13472160).

Almost surely, 2^401327253 is an apocalyptic number.

It is an amenable number.

401327253 is a deficient number, since it is larger than the sum of its proper divisors (245336427).

401327253 is a wasteful number, since it uses less digits than its factorization.

401327253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 401327253 is about 20033.1538455631. The cubic root of 401327253 is about 737.6203403358.

The spelling of 401327253 in words is "four hundred one million, three hundred twenty-seven thousand, two hundred fifty-three".