406808920 has 128 divisors (see below), whose sum is σ = 1082419200. Its totient is φ = 134724096.

The previous prime is 406808891. The next prime is 406808933. The reversal of 406808920 is 29808604.

It is a self number, because there is not a number n which added to its sum of digits gives 406808920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172187 + ... + 1172533.

It is an arithmetic number, because the mean of its divisors is an integer number (8456400).

Almost surely, 2^406808920 is an apocalyptic number.

406808920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406808920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541209600).

406808920 is an abundant number, since it is smaller than the sum of its proper divisors (675610280).

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

406808920 is a wasteful number, since it uses less digits than its factorization.

406808920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

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

The square root of 406808920 is about 20169.5047038840. The cubic root of 406808920 is about 740.9635123904.

The spelling of 406808920 in words is "four hundred six million, eight hundred eight thousand, nine hundred twenty".