385884 has 36 divisors (see below), whose sum is σ = 1014104. Its totient is φ = 128304.

The previous prime is 385877. The next prime is 385897. The reversal of 385884 is 488583.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×385884² = 297812922912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

385884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774 + ... + 1170.

2³⁸⁵⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507052).

385884 is an abundant number, since it is smaller than the sum of its proper divisors (628220).

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

385884 is a wasteful number, since it uses less digits than its factorization.

385884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 385884 is about 621.1956213625. The cubic root of 385884 is about 72.8034998116.

The spelling of 385884 in words is "three hundred eighty-five thousand, eight hundred eighty-four".