413160 has 64 divisors (see below), whose sum is σ = 1356480. Its totient is φ = 99840.

The previous prime is 413159. The next prime is 413167. The reversal of 413160 is 61314.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (413167) 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, 1164 + ... + 1476.

It is an arithmetic number, because the mean of its divisors is an integer number (21195).

2⁴¹³¹⁶⁰ is an apocalyptic number.

413160 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 413160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678240).

413160 is an abundant number, since it is smaller than the sum of its proper divisors (943320).

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

413160 is a wasteful number, since it uses less digits than its factorization.

413160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 413160 is about 642.7752328769. The cubic root of 413160 is about 74.4799579738.

Adding to 413160 its reverse (61314), we get a palindrome (474474).

The spelling of 413160 in words is "four hundred thirteen thousand, one hundred sixty".