384600816 has 60 divisors (see below), whose sum is σ = 1079733720. Its totient is φ = 127797120.

The previous prime is 384600803. The next prime is 384600817. The reversal of 384600816 is 618006483.

It is a happy number.

384600816 is a `hidden beast` number, since 38 + 4 + 600 + 8 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384600817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43630 + ... + 51698.

It is an arithmetic number, because the mean of its divisors is an integer number (17995562).

Almost surely, 2^384600816 is an apocalyptic number.

384600816 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 384600816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539866860).

384600816 is an abundant number, since it is smaller than the sum of its proper divisors (695132904).

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

384600816 is a wasteful number, since it uses less digits than its factorization.

384600816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8414 (or 8405 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 384600816 is about 19611.2420820304. The cubic root of 384600816 is about 727.2271212387.

The spelling of 384600816 in words is "three hundred eighty-four million, six hundred thousand, eight hundred sixteen".