409120880 has 40 divisors (see below), whose sum is σ = 1087094112. Its totient is φ = 140269824.

The previous prime is 409120879. The next prime is 409120889. The reversal of 409120880 is 88021904.

It is a happy number.

409120880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409120889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364727 + ... + 365846.

Almost surely, 2^409120880 is an apocalyptic number.

409120880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409120880 is an abundant number, since it is smaller than the sum of its proper divisors (677973232).

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

409120880 is a wasteful number, since it uses less digits than its factorization.

409120880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730593 (or 730587 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 409120880 is about 20226.7367610299. The cubic root of 409120880 is about 742.3645329463.

The spelling of 409120880 in words is "four hundred nine million, one hundred twenty thousand, eight hundred eighty".