480732 has 48 divisors (see below), whose sum is σ = 1317120. Its totient is φ = 133632.

The previous prime is 480731. The next prime is 480737. The reversal of 480732 is 237084.

It is a super-3 number, since 3×480732³ = 333296191136349504, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480732.

It is not an unprimeable number, because it can be changed into a prime (480731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4908 + ... + 5004.

It is an arithmetic number, because the mean of its divisors is an integer number (27440).

2⁴⁸⁰⁷³² is an apocalyptic number.

480732 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658560).

480732 is an abundant number, since it is smaller than the sum of its proper divisors (836388).

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

480732 is a wasteful number, since it uses less digits than its factorization.

480732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 480732 is about 693.3483972723. The cubic root of 480732 is about 78.3371337626.

The spelling of 480732 in words is "four hundred eighty thousand, seven hundred thirty-two".