409609760 has 96 divisors (see below), whose sum is σ = 1154103552. Its totient is φ = 134323200.

The previous prime is 409609667. The next prime is 409609769. The reversal of 409609760 is 67906904.

It is not an unprimeable number, because it can be changed into a prime (409609769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17810 + ... + 33710.

It is an arithmetic number, because the mean of its divisors is an integer number (12021912).

Almost surely, 2^409609760 is an apocalyptic number.

409609760 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 409609760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577051776).

409609760 is an abundant number, since it is smaller than the sum of its proper divisors (744493792).

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

409609760 is a wasteful number, since it uses less digits than its factorization.

409609760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15946 (or 15938 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 409609760 is about 20238.8181473129. The cubic root of 409609760 is about 742.6601120170.

The spelling of 409609760 in words is "four hundred nine million, six hundred nine thousand, seven hundred sixty".