382084920 has 384 divisors, whose sum is σ = 1507184640. Its totient is φ = 82114560.

The previous prime is 382084891. The next prime is 382084933. The reversal of 382084920 is 29480283.

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 95 ways as a sum of consecutive naturals, for example, 5234004 + ... + 5234076.

It is an arithmetic number, because the mean of its divisors is an integer number (3924960).

Almost surely, 2^382084920 is an apocalyptic number.

382084920 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 382084920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753592320).

382084920 is an abundant number, since it is smaller than the sum of its proper divisors (1125099720).

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

382084920 is a wasteful number, since it uses less digits than its factorization.

382084920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

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

The square root of 382084920 is about 19546.9926075599. The cubic root of 382084920 is about 725.6379133794.

The spelling of 382084920 in words is "three hundred eighty-two million, eighty-four thousand, nine hundred twenty".