686456407 has 16 divisors (see below), whose sum is σ = 850071040. Its totient is φ = 539786592.

The previous prime is 686456369. The next prime is 686456423. The reversal of 686456407 is 704654686.

It is a cyclic number.

It is not a de Polignac number, because 686456407 - 2²⁷ = 552238679 is a prime.

It is a super-2 number, since 2×686456407² = 942444797422699298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686456497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8307 + ... + 37972.

It is an arithmetic number, because the mean of its divisors is an integer number (53129440).

Almost surely, 2^686456407 is an apocalyptic number.

686456407 is a deficient number, since it is larger than the sum of its proper divisors (163614633).

686456407 is a wasteful number, since it uses less digits than its factorization.

686456407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46462.

The product of its (nonzero) digits is 967680, while the sum is 46.

The square root of 686456407 is about 26200.3131088161. The cubic root of 686456407 is about 882.1402823096.

The spelling of 686456407 in words is "six hundred eighty-six million, four hundred fifty-six thousand, four hundred seven".