409995180 has 144 divisors (see below), whose sum is σ = 1441649664. Its totient is φ = 92373120.

The previous prime is 409995169. The next prime is 409995191. The reversal of 409995180 is 81599904.

409995180 is a `hidden beast` number, since 40 + 9 + 99 + 518 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (409995169) and next prime (409995191).

It is a hoax number, since the sum of its digits (45) 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 (45).

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, 87169 + ... + 91751.

It is an arithmetic number, because the mean of its divisors is an integer number (10011456).

Almost surely, 2^409995180 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 409995180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720824832).

409995180 is an abundant number, since it is smaller than the sum of its proper divisors (1031654484).

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

409995180 is a wasteful number, since it uses less digits than its factorization.

409995180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 409995180 is about 20248.3377095504. The cubic root of 409995180 is about 742.8929729478.

The spelling of 409995180 in words is "four hundred nine million, nine hundred ninety-five thousand, one hundred eighty".