383466816 has 168 divisors, whose sum is σ = 1189512480. Its totient is φ = 117697536.

The previous prime is 383466761. The next prime is 383466823. The reversal of 383466816 is 618664383.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404455 + ... + 405401.

Almost surely, 2^383466816 is an apocalyptic number.

383466816 is a gapful number since it is divisible by the number (36) 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 383466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594756240).

383466816 is an abundant number, since it is smaller than the sum of its proper divisors (806045664).

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

383466816 is a wasteful number, since it uses less digits than its factorization.

383466816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1008 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 383466816 is about 19582.3087505023. The cubic root of 383466816 is about 726.5116717186.

The spelling of 383466816 in words is "three hundred eighty-three million, four hundred sixty-six thousand, eight hundred sixteen".