409050180 has 216 divisors, whose sum is σ = 1559253696. Its totient is φ = 84965760.

The previous prime is 409050151. The next prime is 409050211. The reversal of 409050180 is 81050904.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 151119 + ... + 153801.

Almost surely, 2^409050180 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 409050180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779626848).

409050180 is an abundant number, since it is smaller than the sum of its proper divisors (1150203516).

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

409050180 is a wasteful number, since it uses less digits than its factorization.

409050180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 409050180 is about 20224.9889987609. The cubic root of 409050180 is about 742.3217679196.

The spelling of 409050180 in words is "four hundred nine million, fifty thousand, one hundred eighty".