409730460 has 96 divisors (see below), whose sum is σ = 1172102400. Its totient is φ = 106917888.

The previous prime is 409730417. The next prime is 409730467. The reversal of 409730460 is 64037904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409730467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912316 + ... + 912764.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2^409730460 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 409730460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586051200).

409730460 is an abundant number, since it is smaller than the sum of its proper divisors (762371940).

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

409730460 is a wasteful number, since it uses less digits than its factorization.

409730460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 409730460 is about 20241.7998211621. The cubic root of 409730460 is about 742.7330515813.

The spelling of 409730460 in words is "four hundred nine million, seven hundred thirty thousand, four hundred sixty".