412213320 has 128 divisors (see below), whose sum is σ = 1388016000. Its totient is φ = 108806400.

The previous prime is 412213283. The next prime is 412213339. The reversal of 412213320 is 23312214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 412213293 and 412213302.

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, 107191 + ... + 110969.

It is an arithmetic number, because the mean of its divisors is an integer number (10843875).

Almost surely, 2^412213320 is an apocalyptic number.

412213320 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 412213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694008000).

412213320 is an abundant number, since it is smaller than the sum of its proper divisors (975802680).

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

412213320 is a wasteful number, since it uses less digits than its factorization.

412213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 412213320 is about 20303.0372112155. The cubic root of 412213320 is about 744.2302877135.

Adding to 412213320 its reverse (23312214), we get a palindrome (435525534).

The spelling of 412213320 in words is "four hundred twelve million, two hundred thirteen thousand, three hundred twenty".