385627200 has 336 divisors, whose sum is σ = 1511808000. Its totient is φ = 84142080.

The previous prime is 385627171. The next prime is 385627219. The reversal of 385627200 is 2726583.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772551 + ... + 773049.

Almost surely, 2^385627200 is an apocalyptic number.

385627200 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 385627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755904000).

385627200 is an abundant number, since it is smaller than the sum of its proper divisors (1126180800).

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

385627200 is a wasteful number, since it uses less digits than its factorization.

385627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 385627200 is about 19637.3929023178. The cubic root of 385627200 is about 727.8734634963.

The spelling of 385627200 in words is "three hundred eighty-five million, six hundred twenty-seven thousand, two hundred".