413080 has 32 divisors (see below), whose sum is σ = 972000. Its totient is φ = 157696.

The previous prime is 413071. The next prime is 413081. The reversal of 413080 is 80314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413081) by changing a digit.

413080 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 in 7 ways as a sum of consecutive naturals, for example, 696 + ... + 1144.

It is an arithmetic number, because the mean of its divisors is an integer number (30375).

2⁴¹³⁰⁸⁰ is an apocalyptic number.

413080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486000).

413080 is an abundant number, since it is smaller than the sum of its proper divisors (558920).

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

413080 is a wasteful number, since it uses less digits than its factorization.

413080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 413080 is about 642.7129997129. The cubic root of 413080 is about 74.4751504890.

Adding to 413080 its reverse (80314), we get a palindrome (493394).

The spelling of 413080 in words is "four hundred thirteen thousand, eighty".