413034 has 32 divisors (see below), whose sum is σ = 895104. Its totient is φ = 126720.

The previous prime is 413033. The next prime is 413053. The reversal of 413034 is 430314.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5622 + ... + 5694.

It is an arithmetic number, because the mean of its divisors is an integer number (27972).

2⁴¹³⁰³⁴ is an apocalyptic number.

413034 is an abundant number, since it is smaller than the sum of its proper divisors (482070).

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

413034 is a wasteful number, since it uses less digits than its factorization.

413034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 413034 is about 642.6772129149. The cubic root of 413034 is about 74.4723859042.

Adding to 413034 its reverse (430314), we get a palindrome (843348).

The spelling of 413034 in words is "four hundred thirteen thousand, thirty-four".