406816930 has 72 divisors (see below), whose sum is σ = 830338236. Its totient is φ = 142652160.

The previous prime is 406816909. The next prime is 406816951. The reversal of 406816930 is 39618604.

It is an interprime number because it is at equal distance from previous prime (406816909) and next prime (406816951).

It can be written as a sum of positive squares in 18 ways, for example, as 227979801 + 178837129 = 15099^2 + 13373^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 406816930.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6669100 + ... + 6669160.

Almost surely, 2^406816930 is an apocalyptic number.

406816930 is an abundant number, since it is smaller than the sum of its proper divisors (423521306).

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

406816930 is a wasteful number, since it uses less digits than its factorization.

406816930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 406816930 is about 20169.7032700038. The cubic root of 406816930 is about 740.9683755079.

The spelling of 406816930 in words is "four hundred six million, eight hundred sixteen thousand, nine hundred thirty".