413542220 has 96 divisors (see below), whose sum is σ = 1125196800. Its totient is φ = 123980544.

The previous prime is 413542123. The next prime is 413542243. The reversal of 413542220 is 22245314.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28601 + ... + 40559.

It is an arithmetic number, because the mean of its divisors is an integer number (11720800).

Almost surely, 2^413542220 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 413542220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562598400).

413542220 is an abundant number, since it is smaller than the sum of its proper divisors (711654580).

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

413542220 is a wasteful number, since it uses less digits than its factorization.

413542220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12007 (or 12005 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 413542220 is about 20335.7375081407. The cubic root of 413542220 is about 745.0291837283.

Adding to 413542220 its reverse (22245314), we get a palindrome (435787534).

The spelling of 413542220 in words is "four hundred thirteen million, five hundred forty-two thousand, two hundred twenty".