387505600 has 84 divisors (see below), whose sum is σ = 973982304. Its totient is φ = 151674880.

The previous prime is 387505583. The next prime is 387505603. The reversal of 387505600 is 6505783.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387505603) 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, 72624 + ... + 77776.

Almost surely, 2^387505600 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 387505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486991152).

387505600 is an abundant number, since it is smaller than the sum of its proper divisors (586476704).

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

387505600 is a wasteful number, since it uses less digits than its factorization.

387505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 387505600 is about 19685.1619246579. The cubic root of 387505600 is about 729.0533798786.

The spelling of 387505600 in words is "three hundred eighty-seven million, five hundred five thousand, six hundred".