480546 has 32 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 145440.

The previous prime is 480541. The next prime is 480553. The reversal of 480546 is 645084.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480546.

It is not an unprimeable number, because it can be changed into a prime (480541) by changing a digit.

480546 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 15 ways as a sum of consecutive naturals, for example, 190 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2⁴⁸⁰⁵⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583200).

480546 is an abundant number, since it is smaller than the sum of its proper divisors (685854).

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

480546 is a wasteful number, since it uses less digits than its factorization.

480546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 480546 is about 693.2142525944. The cubic root of 480546 is about 78.3270293202.

It can be divided in two parts, 4805 and 46, that added together give a triangular number (4851 = T₉₈).

The spelling of 480546 in words is "four hundred eighty thousand, five hundred forty-six".