407975 has 6 divisors (see below), whose sum is σ = 505920. Its totient is φ = 326360.

The previous prime is 407971. The next prime is 407977. The reversal of 407975 is 579704.

It is not a de Polignac number, because 407975 - 2² = 407971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407971) 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 5 ways as a sum of consecutive naturals, for example, 8135 + ... + 8184.

It is an arithmetic number, because the mean of its divisors is an integer number (84320).

2⁴⁰⁷⁹⁷⁵ is an apocalyptic number.

407975 is a deficient number, since it is larger than the sum of its proper divisors (97945).

407975 is a wasteful number, since it uses less digits than its factorization.

407975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16329 (or 16324 counting only the distinct ones).

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

The square root of 407975 is about 638.7292070980. The cubic root of 407975 is about 74.1670804729.

The spelling of 407975 in words is "four hundred seven thousand, nine hundred seventy-five".