407688 has 16 divisors (see below), whose sum is σ = 1019280. Its totient is φ = 135888.

The previous prime is 407669. The next prime is 407699. The reversal of 407688 is 886704.

It is an unprimeable number.

407688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8470 + ... + 8517.

It is an arithmetic number, because the mean of its divisors is an integer number (63705).

2⁴⁰⁷⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

407688 is an abundant number, since it is smaller than the sum of its proper divisors (611592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407688 is a wasteful number, since it uses less digits than its factorization.

407688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16996 (or 16992 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 407688 is about 638.5045027249. The cubic root of 407688 is about 74.1496848438.

The spelling of 407688 in words is "four hundred seven thousand, six hundred eighty-eight".