384825600 has 432 divisors, whose sum is σ = 1505528640. Its totient is φ = 95846400.

The previous prime is 384825593. The next prime is 384825629. The reversal of 384825600 is 6528483.

384825600 is a `hidden beast` number, since 3 + 8 + 48 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2937535 + ... + 2937665.

It is an arithmetic number, because the mean of its divisors is an integer number (3485020).

Almost surely, 2^384825600 is an apocalyptic number.

384825600 is a gapful number since it is divisible by the number (30) 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 384825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752764320).

384825600 is an abundant number, since it is smaller than the sum of its proper divisors (1120703040).

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

384825600 is a wasteful number, since it uses less digits than its factorization.

384825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 384825600 is about 19616.9722434427. The cubic root of 384825600 is about 727.3687721641.

The spelling of 384825600 in words is "three hundred eighty-four million, eight hundred twenty-five thousand, six hundred".