409250880 has 336 divisors, whose sum is σ = 1542166080. Its totient is φ = 103016448.

The previous prime is 409250851. The next prime is 409250917. The reversal of 409250880 is 88052904.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477302 + ... + 1477578.

It is an arithmetic number, because the mean of its divisors is an integer number (4589780).

Almost surely, 2^409250880 is an apocalyptic number.

409250880 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 409250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771083040).

409250880 is an abundant number, since it is smaller than the sum of its proper divisors (1132915200).

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

409250880 is a wasteful number, since it uses less digits than its factorization.

409250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 409250880 is about 20229.9500740857. The cubic root of 409250880 is about 742.4431545094.

The spelling of 409250880 in words is "four hundred nine million, two hundred fifty thousand, eight hundred eighty".