412040220 has 192 divisors, whose sum is σ = 1284304896. Its totient is φ = 98242560.

The previous prime is 412040183. The next prime is 412040227. The reversal of 412040220 is 22040214.

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

It is a self number, because there is not a number n which added to its sum of digits gives 412040220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412040227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2624382 + ... + 2624538.

It is an arithmetic number, because the mean of its divisors is an integer number (6689088).

Almost surely, 2^412040220 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 412040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642152448).

412040220 is an abundant number, since it is smaller than the sum of its proper divisors (872264676).

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

412040220 is a wasteful number, since it uses less digits than its factorization.

412040220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 412040220 is about 20298.7738545953. The cubic root of 412040220 is about 744.1260986983.

Adding to 412040220 its reverse (22040214), we get a palindrome (434080434).

The spelling of 412040220 in words is "four hundred twelve million, forty thousand, two hundred twenty".