406628860 has 96 divisors (see below), whose sum is σ = 972195840. Its totient is φ = 141523200.

The previous prime is 406628821. The next prime is 406628881. The reversal of 406628860 is 68826604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743107 + ... + 743653.

It is an arithmetic number, because the mean of its divisors is an integer number (10127040).

Almost surely, 2^406628860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406628860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486097920).

406628860 is an abundant number, since it is smaller than the sum of its proper divisors (565566980).

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

406628860 is a wasteful number, since it uses less digits than its factorization.

406628860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 406628860 is about 20165.0405404998. The cubic root of 406628860 is about 740.8541755719.

The spelling of 406628860 in words is "four hundred six million, six hundred twenty-eight thousand, eight hundred sixty".