404957 has 16 divisors (see below), whose sum is σ = 508032. Its totient is φ = 314880.

The previous prime is 404951. The next prime is 404959. The reversal of 404957 is 759404.

It is not a de Polignac number, because 404957 - 2⁴ = 404941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4838 + ... + 4920.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2⁴⁰⁴⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

404957 is a deficient number, since it is larger than the sum of its proper divisors (103075).

404957 is a wasteful number, since it uses less digits than its factorization.

404957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 404957 is about 636.3623181805. The cubic root of 404957 is about 73.9837436899.

The spelling of 404957 in words is "four hundred four thousand, nine hundred fifty-seven".