407957 has 4 divisors (see below), whose sum is σ = 445056. Its totient is φ = 370860.

The previous prime is 407947. The next prime is 407959. The reversal of 407957 is 759704.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 407957 - 2⁶ = 407893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18533 + ... + 18554.

It is an arithmetic number, because the mean of its divisors is an integer number (111264).

2⁴⁰⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

407957 is a deficient number, since it is larger than the sum of its proper divisors (37099).

407957 is a wasteful number, since it uses less digits than its factorization.

407957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37098.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 407957 is about 638.7151164643. The cubic root of 407957 is about 74.1659896977.

It can be divided in two parts, 40 and 7957, that added together give a palindrome (7997).

The spelling of 407957 in words is "four hundred seven thousand, nine hundred fifty-seven".