387280 has 40 divisors (see below), whose sum is σ = 928512. Its totient is φ = 150144.

The previous prime is 387269. The next prime is 387281. The reversal of 387280 is 82783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3709 + ... + 3811.

2³⁸⁷²⁸⁰ 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 387280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256).

387280 is an abundant number, since it is smaller than the sum of its proper divisors (541232).

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

387280 is a wasteful number, since it uses less digits than its factorization.

387280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 387280 is about 622.3182465588. The cubic root of 387280 is about 72.8911871067.

The spelling of 387280 in words is "three hundred eighty-seven thousand, two hundred eighty".