285213384 has 96 divisors (see below), whose sum is σ = 801964800. Its totient is φ = 91503360.

The previous prime is 285213377. The next prime is 285213391. The reversal of 285213384 is 483312582.

285213384 is a `hidden beast` number, since 28 + 521 + 33 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (285213377) and next prime (285213391).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 232597 + ... + 233819.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^285213384 is an apocalyptic number.

285213384 is a gapful number since it is divisible by the number (24) 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 285213384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

285213384 is an abundant number, since it is smaller than the sum of its proper divisors (516751416).

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

285213384 is a wasteful number, since it uses less digits than its factorization.

285213384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1348 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 285213384 is about 16888.2617222733. The cubic root of 285213384 is about 658.2486349544.

The spelling of 285213384 in words is "two hundred eighty-five million, two hundred thirteen thousand, three hundred eighty-four".