406680 has 32 divisors (see below), whose sum is σ = 1220400. Its totient is φ = 108416.

The previous prime is 406673. The next prime is 406697. The reversal of 406680 is 86604.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 406680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1575 + ... + 1814.

2⁴⁰⁶⁶⁸⁰ is an apocalyptic number.

406680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406680 is an abundant number, since it is smaller than the sum of its proper divisors (813720).

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

406680 is a wasteful number, since it uses less digits than its factorization.

406680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 406680 is about 637.7146697387. The cubic root of 406680 is about 74.0885232307.

The spelling of 406680 in words is "four hundred six thousand, six hundred eighty".