385352800 has 72 divisors (see below), whose sum is σ = 1075149936. Its totient is φ = 132119040.

The previous prime is 385352791. The next prime is 385352837. The reversal of 385352800 is 8253583.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 28807 + ... + 40006.

It is an arithmetic number, because the mean of its divisors is an integer number (14932638).

Almost surely, 2^385352800 is an apocalyptic number.

It is an amenable number.

385352800 is an abundant number, since it is smaller than the sum of its proper divisors (689797136).

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

385352800 is a wasteful number, since it uses less digits than its factorization.

385352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68840 (or 68827 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 385352800 is about 19630.4049881810. The cubic root of 385352800 is about 727.7007786939.

The spelling of 385352800 in words is "three hundred eighty-five million, three hundred fifty-two thousand, eight hundred".