380286000 has 240 divisors, whose sum is σ = 1366498848. Its totient is φ = 98496000.

The previous prime is 380285989. The next prime is 380286031. The reversal of 380286000 is 682083.

380286000 is a `hidden beast` number, since 38 + 0 + 28 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 665715 + ... + 666285.

Almost surely, 2^380286000 is an apocalyptic number.

380286000 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 380286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683249424).

380286000 is an abundant number, since it is smaller than the sum of its proper divisors (986212848).

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

380286000 is a wasteful number, since it uses less digits than its factorization.

380286000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 380286000 is about 19500.9230550761. The cubic root of 380286000 is about 724.4973130509.

The spelling of 380286000 in words is "three hundred eighty million, two hundred eighty-six thousand".