409120768 has 104 divisors (see below), whose sum is σ = 985541120. Its totient is φ = 165888000.

The previous prime is 409120753. The next prime is 409120769. The reversal of 409120768 is 867021904.

It is a super-3 number, since 3×409120768³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (409120769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544393 + ... + 545143.

Almost surely, 2^409120768 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 409120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492770560).

409120768 is an abundant number, since it is smaller than the sum of its proper divisors (576420352).

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

409120768 is an equidigital number, since it uses as much as digits as its factorization.

409120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 409120768 is about 20226.7339924171. The cubic root of 409120768 is about 742.3644652036.

The spelling of 409120768 in words is "four hundred nine million, one hundred twenty thousand, seven hundred sixty-eight".