382705920 has 216 divisors, whose sum is σ = 1339228800. Its totient is φ = 100896768.

The previous prime is 382705909. The next prime is 382705927. The reversal of 382705920 is 29507283.

It is a happy number.

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 (382705927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1601161 + ... + 1601399.

Almost surely, 2^382705920 is an apocalyptic number.

382705920 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 382705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669614400).

382705920 is an abundant number, since it is smaller than the sum of its proper divisors (956522880).

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

382705920 is a wasteful number, since it uses less digits than its factorization.

382705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 382705920 is about 19562.8709549493. The cubic root of 382705920 is about 726.0308253651.

The spelling of 382705920 in words is "three hundred eighty-two million, seven hundred five thousand, nine hundred twenty".