404761 has 8 divisors (see below), whose sum is σ = 471744. Its totient is φ = 340080.

The previous prime is 404713. The next prime is 404773. The reversal of 404761 is 167404.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 404761 - 2⁹ = 404249 is a prime.

404761 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (404161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175 + ... + 916.

It is an arithmetic number, because the mean of its divisors is an integer number (58968).

2⁴⁰⁴⁷⁶¹ is an apocalyptic number.

It is an amenable number.

404761 is a deficient number, since it is larger than the sum of its proper divisors (66983).

404761 is a wasteful number, since it uses less digits than its factorization.

404761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 404761 is about 636.2082992228. The cubic root of 404761 is about 73.9718056702.

The spelling of 404761 in words is "four hundred four thousand, seven hundred sixty-one".