414768816 has 320 divisors, whose sum is σ = 1528949760. Its totient is φ = 104509440.

The previous prime is 414768797. The next prime is 414768847. The reversal of 414768816 is 618867414.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230600 + ... + 1230936.

It is an arithmetic number, because the mean of its divisors is an integer number (4777968).

Almost surely, 2^414768816 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 414768816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764474880).

414768816 is an abundant number, since it is smaller than the sum of its proper divisors (1114180944).

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

414768816 is a wasteful number, since it uses less digits than its factorization.

414768816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 414768816 is about 20365.8738088990. The cubic root of 414768816 is about 745.7650600537.

The spelling of 414768816 in words is "four hundred fourteen million, seven hundred sixty-eight thousand, eight hundred sixteen".