407985 has 16 divisors (see below), whose sum is σ = 665280. Its totient is φ = 213440.

The previous prime is 407977. The next prime is 407993. The reversal of 407985 is 589704.

It is an interprime number because it is at equal distance from previous prime (407977) and next prime (407993).

It is not a de Polignac number, because 407985 - 2³ = 407977 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2⁴⁰⁷⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

407985 is a deficient number, since it is larger than the sum of its proper divisors (257295).

407985 is a wasteful number, since it uses less digits than its factorization.

407985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 407985 is about 638.7370350935. The cubic root of 407985 is about 74.1676864453.

The spelling of 407985 in words is "four hundred seven thousand, nine hundred eighty-five".