409434816 has 112 divisors (see below), whose sum is σ = 1242998784. Its totient is φ = 116514816.

The previous prime is 409434811. The next prime is 409434827. The reversal of 409434816 is 618434904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (409434811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474001 + ... + 474863.

Almost surely, 2^409434816 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 409434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621499392).

409434816 is an abundant number, since it is smaller than the sum of its proper divisors (833563968).

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

409434816 is a wasteful number, since it uses less digits than its factorization.

409434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 409434816 is about 20234.4956942346. The cubic root of 409434816 is about 742.5543671150.

The spelling of 409434816 in words is "four hundred nine million, four hundred thirty-four thousand, eight hundred sixteen".