382305924 has 216 divisors, whose sum is σ = 1310242752. Its totient is φ = 90771840.

The previous prime is 382305893. The next prime is 382305929. The reversal of 382305924 is 429503283.

382305924 is a `hidden beast` number, since 38 + 2 + 30 + 592 + 4 = 666.

382305924 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (382305929) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3711657 + ... + 3711759.

Almost surely, 2^382305924 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 382305924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655121376).

382305924 is an abundant number, since it is smaller than the sum of its proper divisors (927936828).

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

382305924 is a wasteful number, since it uses less digits than its factorization.

382305924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 382305924 is about 19552.6449361717. The cubic root of 382305924 is about 725.7777932533. Note that the first 4 decimals are identical.

The spelling of 382305924 in words is "three hundred eighty-two million, three hundred five thousand, nine hundred twenty-four".