382480 has 40 divisors (see below), whose sum is σ = 1017792. Its totient is φ = 130944.

The previous prime is 382463. The next prime is 382493. The reversal of 382480 is 84283.

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

It is an unprimeable number.

382480 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 7 ways as a sum of consecutive naturals, for example, 219 + ... + 901.

2³⁸²⁴⁸⁰ 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 382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896).

382480 is an abundant number, since it is smaller than the sum of its proper divisors (635312).

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

382480 is a wasteful number, since it uses less digits than its factorization.

382480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 382480 is about 618.4496745896. The cubic root of 382480 is about 72.5887933080.

The spelling of 382480 in words is "three hundred eighty-two thousand, four hundred eighty".