406880 has 24 divisors (see below), whose sum is σ = 961632. Its totient is φ = 162688.

The previous prime is 406873. The next prime is 406883. The reversal of 406880 is 88604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1112 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (40068).

2⁴⁰⁶⁸⁸⁰ is an apocalyptic number.

406880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406880 is an abundant number, since it is smaller than the sum of its proper divisors (554752).

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

406880 is a wasteful number, since it uses less digits than its factorization.

406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 406880 is about 637.8714604056. The cubic root of 406880 is about 74.1006665016.

The spelling of 406880 in words is "four hundred six thousand, eight hundred eighty".