383049216 has 240 divisors, whose sum is σ = 1251742800. Its totient is φ = 115568640.

The previous prime is 383049209. The next prime is 383049221. The reversal of 383049216 is 612940383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672590 + ... + 1672818.

It is an arithmetic number, because the mean of its divisors is an integer number (5215595).

Almost surely, 2^383049216 is an apocalyptic number.

383049216 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 383049216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625871400).

383049216 is an abundant number, since it is smaller than the sum of its proper divisors (868693584).

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

383049216 is a wasteful number, since it uses less digits than its factorization.

383049216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 383049216 is about 19571.6431604503. The cubic root of 383049216 is about 726.2478492614.

Adding to 383049216 its reverse (612940383), we get a palindrome (995989599).

The spelling of 383049216 in words is "three hundred eighty-three million, forty-nine thousand, two hundred sixteen".