382850 has 48 divisors (see below), whose sum is σ = 833280. Its totient is φ = 129600.

The previous prime is 382847. The next prime is 382861. The reversal of 382850 is 58283.

382850 = 30² + 31² + ... + 105².

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12335 + ... + 12365.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2³⁸²⁸⁵⁰ is an apocalyptic number.

382850 is an abundant number, since it is smaller than the sum of its proper divisors (450430).

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

382850 is a wasteful number, since it uses less digits than its factorization.

382850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 382850 is about 618.7487373724. The cubic root of 382850 is about 72.6121925251.

The spelling of 382850 in words is "three hundred eighty-two thousand, eight hundred fifty".