407057 has 4 divisors (see below), whose sum is σ = 465216. Its totient is φ = 348900.

The previous prime is 407047. The next prime is 407059. The reversal of 407057 is 750704.

It is a happy number.

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 407057 - 2⁶ = 406993 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407057.

It is not an unprimeable number, because it can be changed into a prime (407059) 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, 29069 + ... + 29082.

It is an arithmetic number, because the mean of its divisors is an integer number (116304).

2⁴⁰⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

407057 is a deficient number, since it is larger than the sum of its proper divisors (58159).

407057 is an equidigital number, since it uses as much as digits as its factorization.

407057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58158.

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 407057 is about 638.0101880064. The cubic root of 407057 is about 74.1114099776. Note that the first 3 decimals are identical.

The spelling of 407057 in words is "four hundred seven thousand, fifty-seven".