409393880 has 64 divisors (see below), whose sum is σ = 1054831680. Its totient is φ = 140083200.

The previous prime is 409393871. The next prime is 409393891. The reversal of 409393880 is 88393904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178340 + ... + 180620.

It is an arithmetic number, because the mean of its divisors is an integer number (16481745).

Almost surely, 2^409393880 is an apocalyptic number.

409393880 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 409393880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527415840).

409393880 is an abundant number, since it is smaller than the sum of its proper divisors (645437800).

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

409393880 is a wasteful number, since it uses less digits than its factorization.

409393880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 409393880 is about 20233.4841290372. The cubic root of 409393880 is about 742.5296190008.

The spelling of 409393880 in words is "four hundred nine million, three hundred ninety-three thousand, eight hundred eighty".