385300800 has 252 divisors, whose sum is σ = 1421603456. Its totient is φ = 102643200.

The previous prime is 385300787. The next prime is 385300837. The reversal of 385300800 is 8003583.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388305 + ... + 389295.

Almost surely, 2^385300800 is an apocalyptic number.

385300800 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 385300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710801728).

385300800 is an abundant number, since it is smaller than the sum of its proper divisors (1036302656).

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

385300800 is an equidigital number, since it uses as much as digits as its factorization.

385300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1001 counting only the distinct ones).

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

The square root of 385300800 is about 19629.0804675104. The cubic root of 385300800 is about 727.6680449300.

The spelling of 385300800 in words is "three hundred eighty-five million, three hundred thousand, eight hundred".