414252816 has 80 divisors (see below), whose sum is σ = 1127832576. Its totient is φ = 130762368.

The previous prime is 414252809. The next prime is 414252827. The reversal of 414252816 is 618252414.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111891 + ... + 115533.

Almost surely, 2^414252816 is an apocalyptic number.

414252816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414252816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563916288).

414252816 is an abundant number, since it is smaller than the sum of its proper divisors (713579760).

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

414252816 is a wasteful number, since it uses less digits than its factorization.

414252816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3774 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 414252816 is about 20353.2016154707. The cubic root of 414252816 is about 745.4556712690.

The spelling of 414252816 in words is "four hundred fourteen million, two hundred fifty-two thousand, eight hundred sixteen".