401164767 has 12 divisors (see below), whose sum is σ = 595121800. Its totient is φ = 260214768.

The previous prime is 401164739. The next prime is 401164849. The reversal of 401164767 is 767461104.

401164767 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 647 + 6 + 7 = 666.

It is not a de Polignac number, because 401164767 - 2¹⁵ = 401131999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401164717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602017 + ... + 602682.

Almost surely, 2^401164767 is an apocalyptic number.

401164767 is a deficient number, since it is larger than the sum of its proper divisors (193957033).

401164767 is a wasteful number, since it uses less digits than its factorization.

401164767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204742 (or 1204739 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 401164767 is about 20029.0980076488. The cubic root of 401164767 is about 737.5207797267.

The spelling of 401164767 in words is "four hundred one million, one hundred sixty-four thousand, seven hundred sixty-seven".