385844500 has 48 divisors (see below), whose sum is σ = 844683840. Its totient is φ = 153972000.

The previous prime is 385844497. The next prime is 385844509. The reversal of 385844500 is 5448583.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 385844500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385844509) 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, 328915 + ... + 330085.

It is an arithmetic number, because the mean of its divisors is an integer number (17597580).

Almost surely, 2^385844500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385844500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422341920).

385844500 is an abundant number, since it is smaller than the sum of its proper divisors (458839340).

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

385844500 is a wasteful number, since it uses less digits than its factorization.

385844500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 385844500 is about 19642.9249349480. The cubic root of 385844500 is about 728.0101561398.

The spelling of 385844500 in words is "three hundred eighty-five million, eight hundred forty-four thousand, five hundred".