385850304 has 350 divisors, whose sum is σ = 1377374944. Its totient is φ = 106686720.

The previous prime is 385850293. The next prime is 385850321. The reversal of 385850304 is 403058583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12446769 + ... + 12446799.

Almost surely, 2^385850304 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 385850304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688687472).

385850304 is an abundant number, since it is smaller than the sum of its proper divisors (991524640).

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

385850304 is an frugal number, since it uses more digits than its factorization.

385850304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 385850304 is about 19643.0726720643. The cubic root of 385850304 is about 728.0138064443.

The spelling of 385850304 in words is "three hundred eighty-five million, eight hundred fifty thousand, three hundred four".