385195200 has 168 divisors, whose sum is σ = 1361194128. Its totient is φ = 94801920.

The previous prime is 385195199. The next prime is 385195201. The reversal of 385195200 is 2591583.

It is an interprime number because it is at equal distance from previous prime (385195199) and next prime (385195201).

It is not an unprimeable number, because it can be changed into a prime (385195201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59314 + ... + 65486.

It is an arithmetic number, because the mean of its divisors is an integer number (8102346).

Almost surely, 2^385195200 is an apocalyptic number.

385195200 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 385195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680597064).

385195200 is an abundant number, since it is smaller than the sum of its proper divisors (975998928).

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

385195200 is a wasteful number, since it uses less digits than its factorization.

385195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 385195200 is about 19626.3903966063. The cubic root of 385195200 is about 727.6015611450.

The spelling of 385195200 in words is "three hundred eighty-five million, one hundred ninety-five thousand, two hundred".