385242 has 32 divisors (see below), whose sum is σ = 907200. Its totient is φ = 107520.

The previous prime is 385223. The next prime is 385249. The reversal of 385242 is 242583.

It is a super-2 number, since 2×385242² = 296822797128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (385249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2³⁸⁵²⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

385242 is an abundant number, since it is smaller than the sum of its proper divisors (521958).

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

385242 is a wasteful number, since it uses less digits than its factorization.

385242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478.

The product of its digits is 1920, while the sum is 24.

The square root of 385242 is about 620.6786608222. The cubic root of 385242 is about 72.7631027049.

The spelling of 385242 in words is "three hundred eighty-five thousand, two hundred forty-two".