406704654756 has 81 divisors (see below), whose sum is σ = 1036179385059. Its totient is φ = 134505753408.

The previous prime is 406704654623. The next prime is 406704654761. The reversal of 406704654756 is 657456407604.

The square root of 406704654756 is 637734.

It is a perfect power (a square), and thus also a powerful number.

406704654756 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 0 + 46 + 547 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91849000356 + 314855654400 = 303066^2 + 561120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 600745090 + ... + 600745766.

Almost surely, 2^406704654756 is an apocalyptic number.

406704654756 is the 637734-th square number.

It is an amenable number.

406704654756 is an abundant number, since it is smaller than the sum of its proper divisors (629474730303).

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

406704654756 is an equidigital number, since it uses as much as digits as its factorization.

406704654756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 406704654756 in words is "four hundred six billion, seven hundred four million, six hundred fifty-four thousand, seven hundred fifty-six".