385981200 has 540 divisors, whose sum is σ = 1599303888. Its totient is φ = 88646400.

The previous prime is 385981199. The next prime is 385981237. The reversal of 385981200 is 2189583.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20314791 + ... + 20314809.

Almost surely, 2^385981200 is an apocalyptic number.

385981200 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 385981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799651944).

385981200 is an abundant number, since it is smaller than the sum of its proper divisors (1213322688).

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

385981200 is a wasteful number, since it uses less digits than its factorization.

385981200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

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

The square root of 385981200 is about 19646.4042511601. The cubic root of 385981200 is about 728.0961210279.

The spelling of 385981200 in words is "three hundred eighty-five million, nine hundred eighty-one thousand, two hundred".