414321312 has 24 divisors (see below), whose sum is σ = 1087593696. Its totient is φ = 138107072.

The previous prime is 414321307. The next prime is 414321343. The reversal of 414321312 is 213123414.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2157828 + ... + 2158019.

It is an arithmetic number, because the mean of its divisors is an integer number (45316404).

Almost surely, 2^414321312 is an apocalyptic number.

It is an amenable number.

414321312 is an abundant number, since it is smaller than the sum of its proper divisors (673272384).

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

414321312 is a wasteful number, since it uses less digits than its factorization.

414321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315860 (or 4315852 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 414321312 is about 20354.8842295897. The cubic root of 414321312 is about 745.4967556147.

Adding to 414321312 its reverse (213123414), we get a palindrome (627444726).

The spelling of 414321312 in words is "four hundred fourteen million, three hundred twenty-one thousand, three hundred twelve".