414712816 has 80 divisors (see below), whose sum is σ = 964224000. Its totient is φ = 168943104.

The previous prime is 414712801. The next prime is 414712849. The reversal of 414712816 is 618217414.

It is a happy number.

It is a congruent 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, 512220 + ... + 513028.

It is an arithmetic number, because the mean of its divisors is an integer number (12052800).

Almost surely, 2^414712816 is an apocalyptic number.

414712816 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 414712816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112000).

414712816 is an abundant number, since it is smaller than the sum of its proper divisors (549511184).

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

414712816 is a wasteful number, since it uses less digits than its factorization.

414712816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 414712816 is about 20364.4989135505. The cubic root of 414712816 is about 745.7314953936.

The spelling of 414712816 in words is "four hundred fourteen million, seven hundred twelve thousand, eight hundred sixteen".