385764 has 48 divisors (see below), whose sum is σ = 999936. Its totient is φ = 115200.

The previous prime is 385741. The next prime is 385771. The reversal of 385764 is 467583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6294 + ... + 6354.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2³⁸⁵⁷⁶⁴ is an apocalyptic number.

385764 is a gapful number since it is divisible by the number (34) 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 385764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

385764 is an abundant number, since it is smaller than the sum of its proper divisors (614172).

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

385764 is a wasteful number, since it uses less digits than its factorization.

385764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 385764 is about 621.0990259210. The cubic root of 385764 is about 72.7959523572.

The spelling of 385764 in words is "three hundred eighty-five thousand, seven hundred sixty-four".