401064867 has 96 divisors (see below), whose sum is σ = 746928000. Its totient is φ = 202051584.

The previous prime is 401064841. The next prime is 401064877. The reversal of 401064867 is 768460104.

401064867 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 648 + 6 + 7 = 666.

It is not a de Polignac number, because 401064867 - 2⁶ = 401064803 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401064877) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1149009 + ... + 1149357.

It is an arithmetic number, because the mean of its divisors is an integer number (7780500).

Almost surely, 2^401064867 is an apocalyptic number.

401064867 is a deficient number, since it is larger than the sum of its proper divisors (345863133).

401064867 is a wasteful number, since it uses less digits than its factorization.

401064867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 401064867 is about 20026.6039807053. The cubic root of 401064867 is about 737.4595543078.

The spelling of 401064867 in words is "four hundred one million, sixty-four thousand, eight hundred sixty-seven".