409946112 has 144 divisors (see below), whose sum is σ = 1236755520. Its totient is φ = 130572288.

The previous prime is 409946111. The next prime is 409946113. The reversal of 409946112 is 211649904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (409946111) and next prime (409946113).

It is a tau number, because it is divible by the number of its divisors (144).

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 (409946111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423453 + ... + 424419.

It is an arithmetic number, because the mean of its divisors is an integer number (8588580).

Almost surely, 2^409946112 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 409946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618377760).

409946112 is an abundant number, since it is smaller than the sum of its proper divisors (826809408).

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

409946112 is a wasteful number, since it uses less digits than its factorization.

409946112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 409946112 is about 20247.1260182773. The cubic root of 409946112 is about 742.8633354232.

The spelling of 409946112 in words is "four hundred nine million, nine hundred forty-six thousand, one hundred twelve".