401431167 has 32 divisors (see below), whose sum is σ = 637378560. Its totient is φ = 249052320.

The previous prime is 401431139. The next prime is 401431171. The reversal of 401431167 is 761134104.

It is a happy number.

It is not a de Polignac number, because 401431167 - 2¹⁰ = 401430143 is a prime.

It is a super-2 number, since 2×401431167² = 322293963677963778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 401431167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401431117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14242 + ... + 31712.

It is an arithmetic number, because the mean of its divisors is an integer number (19918080).

Almost surely, 2^401431167 is an apocalyptic number.

401431167 is a deficient number, since it is larger than the sum of its proper divisors (235947393).

401431167 is a wasteful number, since it uses less digits than its factorization.

401431167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17540 (or 17534 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 401431167 is about 20035.7472283916. The cubic root of 401431167 is about 737.6839978330.

The spelling of 401431167 in words is "four hundred one million, four hundred thirty-one thousand, one hundred sixty-seven".