407885 has 12 divisors (see below), whose sum is σ = 512148. Its totient is φ = 311808.

The previous prime is 407879. The next prime is 407893. The reversal of 407885 is 588704.

It can be written as a sum of positive squares in 6 ways, for example, as 2116 + 405769 = 46^2 + 637^2 .

It is not a de Polignac number, because 407885 - 2⁶ = 407821 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4157 + ... + 4253.

It is an arithmetic number, because the mean of its divisors is an integer number (42679).

2⁴⁰⁷⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

407885 is a deficient number, since it is larger than the sum of its proper divisors (104263).

407885 is an equidigital number, since it uses as much as digits as its factorization.

407885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 407885 is about 638.6587508208. The cubic root of 407885 is about 74.1616262759.

The spelling of 407885 in words is "four hundred seven thousand, eight hundred eighty-five".