387855200 has 72 divisors (see below), whose sum is σ = 950876640. Its totient is φ = 154483200.

The previous prime is 387855199. The next prime is 387855257. The reversal of 387855200 is 2558783.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215906 + ... + 217694.

It is an arithmetic number, because the mean of its divisors is an integer number (13206620).

Almost surely, 2^387855200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475438320).

387855200 is an abundant number, since it is smaller than the sum of its proper divisors (563021440).

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

387855200 is a wasteful number, since it uses less digits than its factorization.

387855200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 387855200 is about 19694.0397074851. The cubic root of 387855200 is about 729.2725598953.

The spelling of 387855200 in words is "three hundred eighty-seven million, eight hundred fifty-five thousand, two hundred".