60480 has 112 divisors (see below), whose sum is σ = 243840. Its totient is φ = 13824.

The previous prime is 60457. The next prime is 60493. The reversal of 60480 is 8406.

It is a Jordan-Polya number, since it can be written as 7! ⋅ 3! ⋅ 2!.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 16.

It is a zygodrome in base 6.

It is an unprimeable number.

60480 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, 8637 + ... + 8643.

2⁶⁰⁴⁸⁰ is an apocalyptic number.

60480 is a gapful number since it is divisible by the number (60) 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 60480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121920).

60480 is an abundant number, since it is smaller than the sum of its proper divisors (183360).

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

60480 is a wasteful number, since it uses less digits than its factorization.

60480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 60480 is about 245.9268183830. The cubic root of 60480 is about 39.2527957223.

Adding to 60480 its reverse (8406), we get a palindrome (68886).

The spelling of 60480 in words is "sixty thousand, four hundred eighty".