409946790 has 96 divisors (see below), whose sum is σ = 1116638208. Its totient is φ = 96148800.

The previous prime is 409946777. The next prime is 409946833. The reversal of 409946790 is 97649904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110709 + ... + 114351.

It is an arithmetic number, because the mean of its divisors is an integer number (11631648).

Almost surely, 2^409946790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409946790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558319104).

409946790 is an abundant number, since it is smaller than the sum of its proper divisors (706691418).

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

409946790 is a wasteful number, since it uses less digits than its factorization.

409946790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 409946790 is about 20247.1427613873. The cubic root of 409946790 is about 742.8637449575.

The spelling of 409946790 in words is "four hundred nine million, nine hundred forty-six thousand, seven hundred ninety".