600480 has 96 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 158976.

The previous prime is 600469. The next prime is 600487. The reversal of 600480 is 84006.

600480 = T₇₉ + T₈₀ + ... + T₁₅₉.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (600487) by changing a digit.

600480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4251 + ... + 4389.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2⁶⁰⁰⁴⁸⁰ is an apocalyptic number.

600480 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 600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

600480 is an abundant number, since it is smaller than the sum of its proper divisors (1516320).

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

600480 is a wasteful number, since it uses less digits than its factorization.

600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

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

The square root of 600480 is about 774.9064459662. The cubic root of 600480 is about 84.3657520728.

Adding to 600480 its reverse (84006), we get a palindrome (684486).

It can be divided in two parts, 6004 and 80, that added together give a square (6084 = 78²).

The spelling of 600480 in words is "six hundred thousand, four hundred eighty".