382266000 has 160 divisors (see below), whose sum is σ = 1369555200. Its totient is φ = 101923200.

The previous prime is 382265999. The next prime is 382266011. The reversal of 382266000 is 662283.

382266000 is a `hidden beast` number, since 38 + 2 + 26 + 600 + 0 = 666.

It is a super-2 number, since 2×382266000² = 292254589512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50461 + ... + 57539.

It is an arithmetic number, because the mean of its divisors is an integer number (8559720).

Almost surely, 2^382266000 is an apocalyptic number.

382266000 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 382266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684777600).

382266000 is an abundant number, since it is smaller than the sum of its proper divisors (987289200).

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

382266000 is a wasteful number, since it uses less digits than its factorization.

382266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7111 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 382266000 is about 19551.6239734708. The cubic root of 382266000 is about 725.7525281803.

The spelling of 382266000 in words is "three hundred eighty-two million, two hundred sixty-six thousand".