385819200 has 420 divisors, whose sum is σ = 1533933940. Its totient is φ = 94556160.

The previous prime is 385819169. The next prime is 385819229. The reversal of 385819200 is 2918583.

It can be written as a sum of positive squares in 6 ways, for example, as 2286144 + 383533056 = 1512^2 + 19584^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684686 + ... + 1684914.

Almost surely, 2^385819200 is an apocalyptic number.

385819200 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 385819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766966970).

385819200 is an abundant number, since it is smaller than the sum of its proper divisors (1148114740).

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

385819200 is a wasteful number, since it uses less digits than its factorization.

385819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 385819200 is about 19642.2809266134. The cubic root of 385819200 is about 727.9942438059.

The spelling of 385819200 in words is "three hundred eighty-five million, eight hundred nineteen thousand, two hundred".