414415368 has 96 divisors (see below), whose sum is σ = 1146936960. Its totient is φ = 135146880.

The previous prime is 414415367. The next prime is 414415457. The reversal of 414415368 is 863514414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (414415361) 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 23 ways as a sum of consecutive naturals, for example, 1307146 + ... + 1307462.

It is an arithmetic number, because the mean of its divisors is an integer number (11947260).

Almost surely, 2^414415368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414415368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573468480).

414415368 is an abundant number, since it is smaller than the sum of its proper divisors (732521592).

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

414415368 is a wasteful number, since it uses less digits than its factorization.

414415368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 660 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 414415368 is about 20357.1945021901. The cubic root of 414415368 is about 745.5531636371.

The spelling of 414415368 in words is "four hundred fourteen million, four hundred fifteen thousand, three hundred sixty-eight".