414027568 has 40 divisors (see below), whose sum is σ = 831057920. Its totient is φ = 199609920.

The previous prime is 414027547. The next prime is 414027589. The reversal of 414027568 is 865720414.

It is an interprime number because it is at equal distance from previous prime (414027547) and next prime (414027589).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150913 + ... + 153631.

It is an arithmetic number, because the mean of its divisors is an integer number (20776448).

Almost surely, 2^414027568 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 414027568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415528960).

414027568 is an abundant number, since it is smaller than the sum of its proper divisors (417030352).

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

414027568 is a wasteful number, since it uses less digits than its factorization.

414027568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 414027568 is about 20347.6673847397. The cubic root of 414027568 is about 745.3205341131.

The spelling of 414027568 in words is "four hundred fourteen million, twenty-seven thousand, five hundred sixty-eight".