387440 has 40 divisors (see below), whose sum is σ = 937440. Its totient is φ = 148736.

The previous prime is 387437. The next prime is 387449. The reversal of 387440 is 44783.

387440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387449) 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, 2237 + ... + 2403.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2³⁸⁷⁴⁴⁰ 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 387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

387440 is an abundant number, since it is smaller than the sum of its proper divisors (550000).

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

387440 is a wasteful number, since it uses less digits than its factorization.

387440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 387440 is about 622.4467848740. The cubic root of 387440 is about 72.9012237591.

The spelling of 387440 in words is "three hundred eighty-seven thousand, four hundred forty".