409802880 has 128 divisors (see below), whose sum is σ = 1328040000. Its totient is φ = 107458560.

The previous prime is 409802879. The next prime is 409802881. The reversal of 409802880 is 88208904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (409802879) and next prime (409802881).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (409802881) 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, 115371 + ... + 118869.

Almost surely, 2^409802880 is an apocalyptic number.

409802880 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 409802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664020000).

409802880 is an abundant number, since it is smaller than the sum of its proper divisors (918237120).

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

409802880 is a wasteful number, since it uses less digits than its factorization.

409802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 409802880 is about 20243.5886146701. The cubic root of 409802880 is about 742.7768084443.

The spelling of 409802880 in words is "four hundred nine million, eight hundred two thousand, eight hundred eighty".