385787584 has 84 divisors (see below), whose sum is σ = 959138544. Its totient is φ = 152603136.

The previous prime is 385787557. The next prime is 385787587. The reversal of 385787584 is 485787583.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (385787587) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36037 + ... + 45499.

It is an arithmetic number, because the mean of its divisors is an integer number (11418316).

Almost surely, 2^385787584 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 385787584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479569272).

385787584 is an abundant number, since it is smaller than the sum of its proper divisors (573350960).

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

385787584 is a wasteful number, since it uses less digits than its factorization.

385787584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9502 (or 9485 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 55.

The square root of 385787584 is about 19641.4761156080. The cubic root of 385787584 is about 727.9743580712.

Subtracting 385787584 from its reverse (485787583), we obtain a palindrome (99999999).

The spelling of 385787584 in words is "three hundred eighty-five million, seven hundred eighty-seven thousand, five hundred eighty-four".