385504 has 24 divisors (see below), whose sum is σ = 867888. Its totient is φ = 165120.

The previous prime is 385501. The next prime is 385519. The reversal of 385504 is 405583.

It is a happy number.

It is a super-2 number, since 2×385504² = 297226668032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 637 + ... + 1084.

It is an arithmetic number, because the mean of its divisors is an integer number (36162).

2³⁸⁵⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

385504 is an abundant number, since it is smaller than the sum of its proper divisors (482384).

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

385504 is a wasteful number, since it uses less digits than its factorization.

385504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 385504 is about 620.8896842435. The cubic root of 385504 is about 72.7795941681.

The spelling of 385504 in words is "three hundred eighty-five thousand, five hundred four".