387900 has 54 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 103200.

The previous prime is 387857. The next prime is 387911. The reversal of 387900 is 9783.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387900.

It is an unprimeable number.

387900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 685 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2³⁸⁷⁹⁰⁰ is an apocalyptic number.

387900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336).

387900 is an abundant number, since it is smaller than the sum of its proper divisors (830772).

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

387900 is a wasteful number, since it uses less digits than its factorization.

387900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 387900 is about 622.8161847608. The cubic root of 387900 is about 72.9300637515.

The spelling of 387900 in words is "three hundred eighty-seven thousand, nine hundred".