387467200 has 84 divisors (see below), whose sum is σ = 994958640. Its totient is φ = 148234240.

The previous prime is 387467147. The next prime is 387467203. The reversal of 387467200 is 2764783.

It is a self number, because there is not a number n which added to its sum of digits gives 387467200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387467203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31536 + ... + 42064.

Almost surely, 2^387467200 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 387467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497479320).

387467200 is an abundant number, since it is smaller than the sum of its proper divisors (607491440).

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

387467200 is a wasteful number, since it uses less digits than its factorization.

387467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10574 (or 10559 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 387467200 is about 19684.1865465657. The cubic root of 387467200 is about 729.0292971517.

The spelling of 387467200 in words is "three hundred eighty-seven million, four hundred sixty-seven thousand, two hundred".