414401312 has 24 divisors (see below), whose sum is σ = 878611356. Its totient is φ = 191261952.

The previous prime is 414401297. The next prime is 414401359. The reversal of 414401312 is 213104414.

It can be written as a sum of positive squares in 2 ways, for example, as 413064976 + 1336336 = 20324^2 + 1156^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 497663 + ... + 498494.

Almost surely, 2^414401312 is an apocalyptic number.

It is an amenable number.

414401312 is an abundant number, since it is smaller than the sum of its proper divisors (464210044).

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

414401312 is a wasteful number, since it uses less digits than its factorization.

414401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996180 (or 996172 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 414401312 is about 20356.8492650508. The cubic root of 414401312 is about 745.5447344020.

Adding to 414401312 its reverse (213104414), we get a palindrome (627505726).

The spelling of 414401312 in words is "four hundred fourteen million, four hundred one thousand, three hundred twelve".