481832 has 32 divisors (see below), whose sum is σ = 1005480. Its totient is φ = 215040.

The previous prime is 481813. The next prime is 481837. The reversal of 481832 is 238184.

It can be written as a sum of positive squares in 4 ways, for example, as 64516 + 417316 = 254^2 + 646^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (481837) 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, 4208 + ... + 4320.

2⁴⁸¹⁸³² 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 481832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502740).

481832 is an abundant number, since it is smaller than the sum of its proper divisors (523648).

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

481832 is a wasteful number, since it uses less digits than its factorization.

481832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 481832 is about 694.1411960113. The cubic root of 481832 is about 78.3968379955.

The spelling of 481832 in words is "four hundred eighty-one thousand, eight hundred thirty-two".