546480 has 160 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 126720.

The previous prime is 546479. The next prime is 546509. The reversal of 546480 is 84645.

546480 = 143² + 144² + ... + 165².

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23749 + ... + 23771.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2⁵⁴⁶⁴⁸⁰ 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 546480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

546480 is an abundant number, since it is smaller than the sum of its proper divisors (1596240).

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

546480 is a wasteful number, since it uses less digits than its factorization.

546480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 44 counting only the distinct ones).

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

The square root of 546480 is about 739.2428559005. The cubic root of 546480 is about 81.7569643086.

The spelling of 546480 in words is "five hundred forty-six thousand, four hundred eighty".