413220 has 48 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 107520.

The previous prime is 413207. The next prime is 413233. The reversal of 413220 is 22314.

It is an interprime number because it is at equal distance from previous prime (413207) and next prime (413233).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 413196 and 413205.

It is an unprimeable number.

413220 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 15 ways as a sum of consecutive naturals, for example, 4212 + ... + 4308.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2⁴¹³²²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704).

413220 is an abundant number, since it is smaller than the sum of its proper divisors (772188).

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

413220 is a wasteful number, since it uses less digits than its factorization.

413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 413220 is about 642.8219037961. The cubic root of 413220 is about 74.4835631801.

Adding to 413220 its reverse (22314), we get a palindrome (435534).

The spelling of 413220 in words is "four hundred thirteen thousand, two hundred twenty".