409949100 has 360 divisors, whose sum is σ = 1497279168. Its totient is φ = 96163200.

The previous prime is 409949077. The next prime is 409949107. The reversal of 409949100 is 1949904.

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

It is not an unprimeable number, because it can be changed into a prime (409949107) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3831247 + ... + 3831353.

Almost surely, 2^409949100 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 409949100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748639584).

409949100 is an abundant number, since it is smaller than the sum of its proper divisors (1087330068).

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

409949100 is a wasteful number, since it uses less digits than its factorization.

409949100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 409949100 is about 20247.1998063930. The cubic root of 409949100 is about 742.8651402703.

The spelling of 409949100 in words is "four hundred nine million, nine hundred forty-nine thousand, one hundred".