385920 has 96 divisors (see below), whose sum is σ = 1352520. Its totient is φ = 101376.

The previous prime is 385907. The next prime is 385927. The reversal of 385920 is 29583.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5727 + ... + 5793.

2³⁸⁵⁹²⁰ is an apocalyptic number.

385920 is a gapful number since it is divisible by the number (30) 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 385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676260).

385920 is an abundant number, since it is smaller than the sum of its proper divisors (966600).

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

385920 is a wasteful number, since it uses less digits than its factorization.

385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 385920 is about 621.2245970661. The cubic root of 385920 is about 72.8057637428.

The spelling of 385920 in words is "three hundred eighty-five thousand, nine hundred twenty".