413264 has 20 divisors (see below), whose sum is σ = 836256. Its totient is φ = 197472.

The previous prime is 413263. The next prime is 413267. The reversal of 413264 is 462314.

It is a happy number.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4 + 1 + 2¹⁷ + 3⁷ + 6⁷ + 4³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194 + ... + 929.

2⁴¹³²⁶⁴ is an apocalyptic number.

It is an amenable number.

413264 is an abundant number, since it is smaller than the sum of its proper divisors (422992).

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

413264 is a wasteful number, since it uses less digits than its factorization.

413264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 413264 is about 642.8561269833. The cubic root of 413264 is about 74.4862067763.

Adding to 413264 its reverse (462314), we get a palindrome (875578).

The spelling of 413264 in words is "four hundred thirteen thousand, two hundred sixty-four".