481584 has 40 divisors (see below), whose sum is σ = 1269760. Its totient is φ = 157248.

The previous prime is 481577. The next prime is 481589. The reversal of 481584 is 485184.

It is an Ulam number.

481584 is a modest number, since divided by 1584 gives 48 as remainder.

It is not an unprimeable number, because it can be changed into a prime (481589) by changing a digit.

481584 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, 3729 + ... + 3855.

It is an arithmetic number, because the mean of its divisors is an integer number (31744).

2⁴⁸¹⁵⁸⁴ 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 481584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634880).

481584 is an abundant number, since it is smaller than the sum of its proper divisors (788176).

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

481584 is a wasteful number, since it uses less digits than its factorization.

481584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 481584 is about 693.9625350118. The cubic root of 481584 is about 78.3833853450.

Subtracting 481584 from its reverse (485184), we obtain a square (3600 = 60²).

The spelling of 481584 in words is "four hundred eighty-one thousand, five hundred eighty-four".