406828604 has 24 divisors (see below), whose sum is σ = 876247008. Its totient is φ = 160943040.

The previous prime is 406828601. The next prime is 406828661.

It is a happy number.

406828604 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406828601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558467 + ... + 559194.

It is an arithmetic number, because the mean of its divisors is an integer number (36510292).

Almost surely, 2^406828604 is an apocalyptic number.

It is an amenable number.

406828604 is an abundant number, since it is smaller than the sum of its proper divisors (469418404).

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

406828604 is a wasteful number, since it uses less digits than its factorization.

406828604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117685 (or 1117683 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 406828604 is about 20169.9926623685. The cubic root of 406828604 is about 740.9754630383.

The spelling of 406828604 in words is "four hundred six million, eight hundred twenty-eight thousand, six hundred four".