385890 has 32 divisors (see below), whose sum is σ = 976320. Its totient is φ = 97344.

The previous prime is 385877. The next prime is 385897. The reversal of 385890 is 98583.

It is a super-2 number, since 2×385890² = 297822184200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385890.

It is not an unprimeable number, because it can be changed into a prime (385897) by changing a digit.

385890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (30510).

2³⁸⁵⁸⁹⁰ is an apocalyptic number.

385890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488160).

385890 is an abundant number, since it is smaller than the sum of its proper divisors (590430).

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

385890 is a wasteful number, since it uses less digits than its factorization.

385890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 385890 is about 621.2004507403. The cubic root of 385890 is about 72.8038771433.

It can be divided in two parts, 385 and 890, that added together give a triangular number (1275 = T₅₀).

The spelling of 385890 in words is "three hundred eighty-five thousand, eight hundred ninety".