409049712 has 120 divisors (see below), whose sum is σ = 1209747968. Its totient is φ = 128822400.

The previous prime is 409049701. The next prime is 409049723. The reversal of 409049712 is 217940904.

It is an interprime number because it is at equal distance from previous prime (409049701) and next prime (409049723).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190887 + ... + 193017.

Almost surely, 2^409049712 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 409049712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604873984).

409049712 is an abundant number, since it is smaller than the sum of its proper divisors (800698256).

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

409049712 is a wasteful number, since it uses less digits than its factorization.

409049712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 409049712 is about 20224.9774289120. The cubic root of 409049712 is about 742.3214848193.

The spelling of 409049712 in words is "four hundred nine million, forty-nine thousand, seven hundred twelve".