406656684 has 72 divisors (see below), whose sum is σ = 1198797600. Its totient is φ = 116184096.

The previous prime is 406656673. The next prime is 406656709. The reversal of 406656684 is 486656604.

406656684 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 566 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4119 + ... + 28814.

Almost surely, 2^406656684 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 406656684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599398800).

406656684 is an abundant number, since it is smaller than the sum of its proper divisors (792140916).

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

406656684 is a wasteful number, since it uses less digits than its factorization.

406656684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32964 (or 32945 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 406656684 is about 20165.7304355682. The cubic root of 406656684 is about 740.8710730907.

The spelling of 406656684 in words is "four hundred six million, six hundred fifty-six thousand, six hundred eighty-four".