385398600 has 96 divisors (see below), whose sum is σ = 1198048320. Its totient is φ = 102488320.

The previous prime is 385398599. The next prime is 385398613. The reversal of 385398600 is 6893583.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301162 + ... + 302438.

It is an arithmetic number, because the mean of its divisors is an integer number (12479670).

Almost surely, 2^385398600 is an apocalyptic number.

385398600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385398600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599024160).

385398600 is an abundant number, since it is smaller than the sum of its proper divisors (812649720).

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

385398600 is a wasteful number, since it uses less digits than its factorization.

385398600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 385398600 is about 19631.5715112163. The cubic root of 385398600 is about 727.7296071470.

The spelling of 385398600 in words is "three hundred eighty-five million, three hundred ninety-eight thousand, six hundred".