414816064 has 28 divisors (see below), whose sum is σ = 886471684. Its totient is φ = 191453184.

The previous prime is 414816047. The next prime is 414816071. The reversal of 414816064 is 460618414.

It can be written as a sum of positive squares in 2 ways, for example, as 219040000 + 195776064 = 14800^2 + 13992^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 248457 + ... + 250120.

It is an arithmetic number, because the mean of its divisors is an integer number (31659703).

Almost surely, 2^414816064 is an apocalyptic number.

It is an amenable number.

414816064 is an abundant number, since it is smaller than the sum of its proper divisors (471655620).

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

414816064 is a wasteful number, since it uses less digits than its factorization.

414816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498602 (or 498592 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 414816064 is about 20367.0337555570. The cubic root of 414816064 is about 745.7933766873.

The spelling of 414816064 in words is "four hundred fourteen million, eight hundred sixteen thousand, sixty-four".