412414220 has 96 divisors (see below), whose sum is σ = 958366080. Its totient is φ = 148377600.

The previous prime is 412414213. The next prime is 412414231. The reversal of 412414220 is 22414214.

412414220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 412414192 and 412414201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1488722 + ... + 1488998.

It is an arithmetic number, because the mean of its divisors is an integer number (9982980).

Almost surely, 2^412414220 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 412414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479183040).

412414220 is an abundant number, since it is smaller than the sum of its proper divisors (545951860).

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

412414220 is a wasteful number, since it uses less digits than its factorization.

412414220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 412414220 is about 20307.9841441734. The cubic root of 412414220 is about 744.3511730047.

Adding to 412414220 its reverse (22414214), we get a palindrome (434828434).

The spelling of 412414220 in words is "four hundred twelve million, four hundred fourteen thousand, two hundred twenty".