409020930 has 96 divisors (see below), whose sum is σ = 1117022400. Its totient is φ = 103694976.

The previous prime is 409020881. The next prime is 409020947. The reversal of 409020930 is 39020904.

It is a junction number, because it is equal to n+sod(n) for n = 409020894 and 409020903.

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, 173701 + ... + 176039.

It is an arithmetic number, because the mean of its divisors is an integer number (11635650).

Almost surely, 2^409020930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409020930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558511200).

409020930 is an abundant number, since it is smaller than the sum of its proper divisors (708001470).

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

409020930 is a wasteful number, since it uses less digits than its factorization.

409020930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 409020930 is about 20224.2658704834. The cubic root of 409020930 is about 742.3040737341.

The spelling of 409020930 in words is "four hundred nine million, twenty thousand, nine hundred thirty".