385308000 has 576 divisors, whose sum is σ = 1717148160. Its totient is φ = 79488000.

The previous prime is 385307999. The next prime is 385308019. The reversal of 385308000 is 803583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2771931 + ... + 2772069.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^385308000 is an apocalyptic number.

385308000 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 385308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

385308000 is an abundant number, since it is smaller than the sum of its proper divisors (1331840160).

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

385308000 is a wasteful number, since it uses less digits than its factorization.

385308000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 385308000 is about 19629.2638680109. The cubic root of 385308000 is about 727.6725774729.

The spelling of 385308000 in words is "three hundred eighty-five million, three hundred eight thousand".