409856064 has 56 divisors (see below), whose sum is σ = 1088550528. Its totient is φ = 136097280.

The previous prime is 409856063. The next prime is 409856071. The reversal of 409856064 is 460658904.

It is not an unprimeable number, because it can be changed into a prime (409856063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48094 + ... + 55970.

Almost surely, 2^409856064 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 409856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544275264).

409856064 is an abundant number, since it is smaller than the sum of its proper divisors (678694464).

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

409856064 is a wasteful number, since it uses less digits than its factorization.

409856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 409856064 is about 20244.9021731398. The cubic root of 409856064 is about 742.8089394476.

The spelling of 409856064 in words is "four hundred nine million, eight hundred fifty-six thousand, sixty-four".