412200360 has 512 divisors, whose sum is σ = 1720051200. Its totient is φ = 86261760.

The previous prime is 412200317. The next prime is 412200361. The reversal of 412200360 is 63002214.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (412200361) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2625402 + ... + 2625558.

It is an arithmetic number, because the mean of its divisors is an integer number (3359475).

Almost surely, 2^412200360 is an apocalyptic number.

412200360 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 412200360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860025600).

412200360 is an abundant number, since it is smaller than the sum of its proper divisors (1307850840).

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

412200360 is a wasteful number, since it uses less digits than its factorization.

412200360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

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

The square root of 412200360 is about 20302.7180446363. The cubic root of 412200360 is about 744.2224880904. Note that the first 3 decimals are identical.

Adding to 412200360 its reverse (63002214), we get a palindrome (475202574).

The spelling of 412200360 in words is "four hundred twelve million, two hundred thousand, three hundred sixty".