413064 has 24 divisors (see below), whose sum is σ = 1118910. Its totient is φ = 137664.

The previous prime is 413053. The next prime is 413069. The reversal of 413064 is 460314.

It can be written as a sum of positive squares in only one way, i.e., 412164 + 900 = 642^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (413069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2797 + ... + 2940.

2⁴¹³⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

413064 is an abundant number, since it is smaller than the sum of its proper divisors (705846).

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

413064 is a wasteful number, since it uses less digits than its factorization.

413064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413064 is about 642.7005523570. The cubic root of 413064 is about 74.4741889175.

Adding to 413064 its reverse (460314), we get a palindrome (873378).

The spelling of 413064 in words is "four hundred thirteen thousand, sixty-four".