414222312 has 64 divisors (see below), whose sum is σ = 1224316800. Its totient is φ = 114266880.

The previous prime is 414222253. The next prime is 414222313. The reversal of 414222312 is 213222414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (414222313) 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 15 ways as a sum of consecutive naturals, for example, 37639 + ... + 47382.

It is an arithmetic number, because the mean of its divisors is an integer number (19129950).

Almost surely, 2^414222312 is an apocalyptic number.

414222312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

414222312 is an abundant number, since it is smaller than the sum of its proper divisors (810094488).

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

414222312 is a wasteful number, since it uses less digits than its factorization.

414222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85066 (or 85062 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 414222312 is about 20352.4522355415. The cubic root of 414222312 is about 745.4373733142.

Adding to 414222312 its reverse (213222414), we get a palindrome (627444726).

It can be divided in two parts, 41422 and 2312, that added together give a palindrome (43734).

The spelling of 414222312 in words is "four hundred fourteen million, two hundred twenty-two thousand, three hundred twelve".