385933800 has 144 divisors (see below), whose sum is σ = 1391830560. Its totient is φ = 88206720.

The previous prime is 385933799. The next prime is 385933837. The reversal of 385933800 is 8339583.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22837 + ... + 35963.

It is an arithmetic number, because the mean of its divisors is an integer number (9665490).

Almost surely, 2^385933800 is an apocalyptic number.

385933800 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 385933800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695915280).

385933800 is an abundant number, since it is smaller than the sum of its proper divisors (1005896760).

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

385933800 is a wasteful number, since it uses less digits than its factorization.

385933800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13160 (or 13144 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 385933800 is about 19645.1978865065. The cubic root of 385933800 is about 728.0663154580.

The spelling of 385933800 in words is "three hundred eighty-five million, nine hundred thirty-three thousand, eight hundred".