382180000 has 120 divisors (see below), whose sum is σ = 954735012. Its totient is φ = 150528000.

The previous prime is 382179961. The next prime is 382180021. The reversal of 382180000 is 81283.

It can be written as a sum of positive squares in 10 ways, for example, as 55696 + 382124304 = 236^2 + 19548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1939902 + ... + 1940098.

Almost surely, 2^382180000 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 382180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477367506).

382180000 is an abundant number, since it is smaller than the sum of its proper divisors (572555012).

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

382180000 is an equidigital number, since it uses as much as digits as its factorization.

382180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 382180000 is about 19549.4245439604. The cubic root of 382180000 is about 725.6980988923.

The spelling of 382180000 in words is "three hundred eighty-two million, one hundred eighty thousand".