404577 has 6 divisors (see below), whose sum is σ = 584402. Its totient is φ = 269712.

The previous prime is 404557. The next prime is 404597. The reversal of 404577 is 775404.

It is an interprime number because it is at equal distance from previous prime (404557) and next prime (404597).

It can be written as a sum of positive squares in only one way, i.e., 404496 + 81 = 636^2 + 9^2 .

It is not a de Polignac number, because 404577 - 2⁶ = 404513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 404577.

It is not an unprimeable number, because it can be changed into a prime (404507) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22468 + ... + 22485.

2⁴⁰⁴⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

404577 is a deficient number, since it is larger than the sum of its proper divisors (179825).

404577 is a wasteful number, since it uses less digits than its factorization.

404577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44959 (or 44956 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 404577 is about 636.0636760577. The cubic root of 404577 is about 73.9605950420.

Subtracting from 404577 its sum of digits (27), we obtain a triangular number (404550 = T₈₉₉).

The spelling of 404577 in words is "four hundred four thousand, five hundred seventy-seven".