382826000 has 40 divisors (see below), whose sum is σ = 925678104. Its totient is φ = 153129600.

The previous prime is 382825997. The next prime is 382826011. The reversal of 382826000 is 628283.

It can be written as a sum of positive squares in 4 ways, for example, as 45589504 + 337236496 = 6752^2 + 18364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 93707 + ... + 97706.

Almost surely, 2^382826000 is an apocalyptic number.

It is an amenable number.

382826000 is an abundant number, since it is smaller than the sum of its proper divisors (542852104).

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

382826000 is a wasteful number, since it uses less digits than its factorization.

382826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191436 (or 191420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 382826000 is about 19565.9397934267. The cubic root of 382826000 is about 726.1067519538.

The spelling of 382826000 in words is "three hundred eighty-two million, eight hundred twenty-six thousand".