406685760 has 112 divisors (see below), whose sum is σ = 1390595136. Its totient is φ = 100104192.

The previous prime is 406685749. The next prime is 406685809. The reversal of 406685760 is 67586604.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3814 + ... + 28773.

It is an arithmetic number, because the mean of its divisors is an integer number (12416028).

Almost surely, 2^406685760 is an apocalyptic number.

406685760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695297568).

406685760 is an abundant number, since it is smaller than the sum of its proper divisors (983909376).

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

406685760 is a wasteful number, since it uses less digits than its factorization.

406685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32620 (or 32610 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 406685760 is about 20166.4513487128. The cubic root of 406685760 is about 740.8887301257. Note that the first 3 decimals are identical.

The spelling of 406685760 in words is "four hundred six million, six hundred eighty-five thousand, seven hundred sixty".