382083020 has 48 divisors (see below), whose sum is σ = 879572736. Its totient is φ = 138264000.

The previous prime is 382083017. The next prime is 382083067. The reversal of 382083020 is 20380283.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42305 + ... + 50535.

It is an arithmetic number, because the mean of its divisors is an integer number (18324432).

Almost surely, 2^382083020 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 382083020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439786368).

382083020 is an abundant number, since it is smaller than the sum of its proper divisors (497489716).

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

382083020 is a wasteful number, since it uses less digits than its factorization.

382083020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8462 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 382083020 is about 19546.9440066728. The cubic root of 382083020 is about 725.6367105802.

The spelling of 382083020 in words is "three hundred eighty-two million, eighty-three thousand, twenty".