385424 has 40 divisors (see below), whose sum is σ = 859320. Its totient is φ = 165888.

The previous prime is 385417. The next prime is 385433. The reversal of 385424 is 424583.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 313600 = 268^2 + 560^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 385393 and 385402.

It is an unprimeable number.

385424 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 7 ways as a sum of consecutive naturals, for example, 3482 + ... + 3590.

It is an arithmetic number, because the mean of its divisors is an integer number (21483).

2³⁸⁵⁴²⁴ is an apocalyptic number.

385424 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 385424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429660).

385424 is an abundant number, since it is smaller than the sum of its proper divisors (473896).

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

385424 is a wasteful number, since it uses less digits than its factorization.

385424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 385424 is about 620.8252572182. The cubic root of 385424 is about 72.7745593994.

The spelling of 385424 in words is "three hundred eighty-five thousand, four hundred twenty-four".