413130 has 32 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 107456.

The previous prime is 413129. The next prime is 413141. The reversal of 413130 is 31314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264 + ... + 1556.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2⁴¹³¹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

413130 is an abundant number, since it is smaller than the sum of its proper divisors (602934).

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

413130 is a wasteful number, since it uses less digits than its factorization.

413130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 413130 is about 642.7518961466. The cubic root of 413130 is about 74.4781552397.

Adding to 413130 its reverse (31314), we get a palindrome (444444).

The spelling of 413130 in words is "four hundred thirteen thousand, one hundred thirty".