406806689000 has 64 divisors (see below), whose sum is σ = 961352917200. Its totient is φ = 161111520000.

The previous prime is 406806688987. The next prime is 406806689017. The reversal of 406806689000 is 986608604.

It can be written as a sum of positive squares in 8 ways, for example, as 67297698724 + 339508990276 = 259418^2 + 582674^2 .

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, 1912895 + ... + 2114894.

Almost surely, 2^406806689000 is an apocalyptic number.

406806689000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406806689000 is an abundant number, since it is smaller than the sum of its proper divisors (554546228200).

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

406806689000 is a wasteful number, since it uses less digits than its factorization.

406806689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027911 (or 4027897 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 406806689000 in words is "four hundred six billion, eight hundred six million, six hundred eighty-nine thousand".