385548 has 36 divisors (see below), whose sum is σ = 960120. Its totient is φ = 120384.

The previous prime is 385537. The next prime is 385559. The reversal of 385548 is 845583.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (385537) and next prime (385559).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385548.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4288 + ... + 4376.

It is an arithmetic number, because the mean of its divisors is an integer number (26670).

2³⁸⁵⁵⁴⁸ is an apocalyptic number.

385548 is a gapful number since it is divisible by the number (38) 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 385548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480060).

385548 is an abundant number, since it is smaller than the sum of its proper divisors (574572).

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

385548 is a wasteful number, since it uses less digits than its factorization.

385548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 385548 is about 620.9251162580. The cubic root of 385548 is about 72.7823629939.

The spelling of 385548 in words is "three hundred eighty-five thousand, five hundred forty-eight".