406724100 has 144 divisors (see below), whose sum is σ = 1235129280. Its totient is φ = 103219200.

The previous prime is 406724077. The next prime is 406724113. The reversal of 406724100 is 1427604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528516 + ... + 529284.

Almost surely, 2^406724100 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 406724100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617564640).

406724100 is an abundant number, since it is smaller than the sum of its proper divisors (828405180).

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

406724100 is a wasteful number, since it uses less digits than its factorization.

406724100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 406724100 is about 20167.4019149716. The cubic root of 406724100 is about 740.9120116403.

The spelling of 406724100 in words is "four hundred six million, seven hundred twenty-four thousand, one hundred".