401045667 has 48 divisors (see below), whose sum is σ = 613272576. Its totient is φ = 232689600.

The previous prime is 401045663. The next prime is 401045677. The reversal of 401045667 is 766540104.

It is not a de Polignac number, because 401045667 - 2² = 401045663 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (401045663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1766608 + ... + 1766834.

It is an arithmetic number, because the mean of its divisors is an integer number (12776512).

Almost surely, 2^401045667 is an apocalyptic number.

401045667 is a deficient number, since it is larger than the sum of its proper divisors (212226909).

401045667 is a wasteful number, since it uses less digits than its factorization.

401045667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 401045667 is about 20026.1246126154. The cubic root of 401045667 is about 737.4477860956.

The spelling of 401045667 in words is "four hundred one million, forty-five thousand, six hundred sixty-seven".