407687 has 8 divisors (see below), whose sum is σ = 470400. Its totient is φ = 346104.

The previous prime is 407669. The next prime is 407699. The reversal of 407687 is 786704.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 407687 - 2¹² = 403591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (58800).

2⁴⁰⁷⁶⁸⁷ is an apocalyptic number.

407687 is a deficient number, since it is larger than the sum of its proper divisors (62713).

407687 is a wasteful number, since it uses less digits than its factorization.

407687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 407687 is about 638.5037196446. The cubic root of 407687 is about 74.1496242176.

The spelling of 407687 in words is "four hundred seven thousand, six hundred eighty-seven".