387504 has 100 divisors (see below), whose sum is σ = 1260336. Its totient is φ = 114048.

The previous prime is 387503. The next prime is 387509. The reversal of 387504 is 405783.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16837 + ... + 16859.

2³⁸⁷⁵⁰⁴ 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 387504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630168).

387504 is an abundant number, since it is smaller than the sum of its proper divisors (872832).

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

387504 is a wasteful number, since it uses less digits than its factorization.

387504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 387504 is about 622.4981927685. The cubic root of 387504 is about 72.9052376463.

The spelling of 387504 in words is "three hundred eighty-seven thousand, five hundred four".