483984 has 30 divisors (see below), whose sum is σ = 1354886. Its totient is φ = 161280.

The previous prime is 483971. The next prime is 483991. The reversal of 483984 is 489384.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 32400 = 672^2 + 180^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 483984.

It is an unprimeable number.

483984 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 5 ways as a sum of consecutive naturals, for example, 1537 + ... + 1824.

2⁴⁸³⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

483984 is an abundant number, since it is smaller than the sum of its proper divisors (870902).

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

483984 is a wasteful number, since it uses less digits than its factorization.

483984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3366 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 483984 is about 695.6895859505. The cubic root of 483984 is about 78.5133789251.

The spelling of 483984 in words is "four hundred eighty-three thousand, nine hundred eighty-four".