409116064 has 24 divisors (see below), whose sum is σ = 920511648. Its totient is φ = 175335360.

The previous prime is 409116053. The next prime is 409116077. The reversal of 409116064 is 460611904.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 912982 + ... + 913429.

It is an arithmetic number, because the mean of its divisors is an integer number (38354652).

Almost surely, 2^409116064 is an apocalyptic number.

It is an amenable number.

409116064 is an abundant number, since it is smaller than the sum of its proper divisors (511395584).

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

409116064 is a wasteful number, since it uses less digits than its factorization.

409116064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826428 (or 1826420 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 409116064 is about 20226.6177103341. The cubic root of 409116064 is about 742.3616199999.

Adding to 409116064 its reverse (460611904), we get a palindrome (869727968).

The spelling of 409116064 in words is "four hundred nine million, one hundred sixteen thousand, sixty-four".