404157 has 16 divisors (see below), whose sum is σ = 596288. Its totient is φ = 241920.

The previous prime is 404123. The next prime is 404161. The reversal of 404157 is 751404.

It is not a de Polignac number, because 404157 - 2⁷ = 404029 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557 + ... + 1797.

It is an arithmetic number, because the mean of its divisors is an integer number (37268).

2⁴⁰⁴¹⁵⁷ is an apocalyptic number.

It is an amenable number.

404157 is a deficient number, since it is larger than the sum of its proper divisors (192131).

404157 is a wasteful number, since it uses less digits than its factorization.

404157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 404157 is about 635.7334347036. The cubic root of 404157 is about 73.9349928243.

It can be divided in two parts, 404 and 157, that added together give a triangular number (561 = T₃₃).

The spelling of 404157 in words is "four hundred four thousand, one hundred fifty-seven".