407683 has 8 divisors (see below), whose sum is σ = 440000. Its totient is φ = 376488.

The previous prime is 407669. The next prime is 407699. The reversal of 407683 is 386704.

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 407683 - 2⁵ = 407651 is a prime.

It is the 639-th Hogben number.

It is a Duffinian number.

407683 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (407633) by changing a digit.

It is a nontrivial repunit in base 638.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568 + ... + 1066.

It is an arithmetic number, because the mean of its divisors is an integer number (55000).

2⁴⁰⁷⁶⁸³ is an apocalyptic number.

407683 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

407683 is a deficient number, since it is larger than the sum of its proper divisors (32317).

407683 is a wasteful number, since it uses less digits than its factorization.

407683 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 407683 is about 638.5005873137. The cubic root of 407683 is about 74.1493817117.

Subtracting from 407683 its product of nonzero digits (4032), we obtain a triangular number (403651 = T₈₉₈).

The spelling of 407683 in words is "four hundred seven thousand, six hundred eighty-three".