406828900 has 27 divisors (see below), whose sum is σ = 883256619. Its totient is φ = 162650880.

The previous prime is 406828883. The next prime is 406828943. The reversal of 406828900 is 9828604.

The square root of 406828900 is 20170.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22982436 + 383846464 = 4794^2 + 19592^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 406828900.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 200692 + ... + 202708.

Almost surely, 2^406828900 is an apocalyptic number.

406828900 is the 20170-th square number.

It is an amenable number.

406828900 is an abundant number, since it is smaller than the sum of its proper divisors (476427719).

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

406828900 is an equidigital number, since it uses as much as digits as its factorization.

406828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 406828900 is about 740.9756427444.

The spelling of 406828900 in words is "four hundred six million, eight hundred twenty-eight thousand, nine hundred".