408064 has 20 divisors (see below), whose sum is σ = 816354. Its totient is φ = 203776.

The previous prime is 408049. The next prime is 408071. The reversal of 408064 is 460804.

It can be written as a sum of positive squares in only one way, i.e., 350464 + 57600 = 592^2 + 240^2 .

It is an unprimeable number.

408064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 114 + ... + 910.

2⁴⁰⁸⁰⁶⁴ 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 408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408177).

408064 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

408064 is an frugal number, since it uses more digits than its factorization.

408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 408064 is about 638.7988728857. The cubic root of 408064 is about 74.1724732791.

Adding to 408064 its reverse (460804), we get a palindrome (868868).

The spelling of 408064 in words is "four hundred eight thousand, sixty-four".