409121792 has 88 divisors (see below), whose sum is σ = 884304000. Its totient is φ = 188604416.

The previous prime is 409121771. The next prime is 409121819. The reversal of 409121792 is 297121904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682709 + ... + 683307.

Almost surely, 2^409121792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442152000).

409121792 is an abundant number, since it is smaller than the sum of its proper divisors (475182208).

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

409121792 is a wasteful number, since it uses less digits than its factorization.

409121792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 409121792 is about 20226.7593054350. The cubic root of 409121792 is about 742.3650845648.

The spelling of 409121792 in words is "four hundred nine million, one hundred twenty-one thousand, seven hundred ninety-two".