414042312 has 32 divisors (see below), whose sum is σ = 1050559200. Its totient is φ = 135953664.

The previous prime is 414042311. The next prime is 414042337. The reversal of 414042312 is 213240414.

It is a super-2 number, since 2×414042312² = 342862072252610688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414042311) 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 7 ways as a sum of consecutive naturals, for example, 127137 + ... + 130352.

It is an arithmetic number, because the mean of its divisors is an integer number (32829975).

Almost surely, 2^414042312 is an apocalyptic number.

It is an amenable number.

414042312 is an abundant number, since it is smaller than the sum of its proper divisors (636516888).

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

414042312 is a wasteful number, since it uses less digits than its factorization.

414042312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257565 (or 257561 counting only the distinct ones).

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

The square root of 414042312 is about 20348.0296834853. The cubic root of 414042312 is about 745.3293812499.

Adding to 414042312 its reverse (213240414), we get a palindrome (627282726).

The spelling of 414042312 in words is "four hundred fourteen million, forty-two thousand, three hundred twelve".