385999600 has 120 divisors (see below), whose sum is σ = 1094279168. Its totient is φ = 128044800.

The previous prime is 385999589. The next prime is 385999613. The reversal of 385999600 is 6999583.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84577 + ... + 89023.

Almost surely, 2^385999600 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 385999600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547139584).

385999600 is an abundant number, since it is smaller than the sum of its proper divisors (708279568).

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

385999600 is a wasteful number, since it uses less digits than its factorization.

385999600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

The square root of 385999600 is about 19646.8725246539. The cubic root of 385999600 is about 728.1076904651.

The spelling of 385999600 in words is "three hundred eighty-five million, nine hundred ninety-nine thousand, six hundred".