6000480 has 120 divisors (see below), whose sum is σ = 21222432. Its totient is φ = 1596672.

The previous prime is 6000479. The next prime is 6000481. The reversal of 6000480 is 840006.

6000480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6000479) and next prime (6000481).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12729 + ... + 13191.

Almost surely, 2^6000480 is an apocalyptic number.

6000480 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 6000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611216).

6000480 is an abundant number, since it is smaller than the sum of its proper divisors (15221952).

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

6000480 is a wasteful number, since it uses less digits than its factorization.

6000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

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

The square root of 6000480 is about 2449.5877204134. The cubic root of 6000480 is about 181.7169048089.

Adding to 6000480 its reverse (840006), we get a palindrome (6840486).

The spelling of 6000480 in words is "six million, four hundred eighty", and thus it is an aban number.