3000480 has 192 divisors, whose sum is σ = 11612160. Its totient is φ = 635904.

The previous prime is 3000479. The next prime is 3000523. The reversal of 3000480 is 840003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent 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, 63817 + ... + 63863.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

Almost surely, 2^3000480 is an apocalyptic number.

3000480 is a gapful number since it is divisible by the number (30) 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 3000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3000480 is an abundant number, since it is smaller than the sum of its proper divisors (8611680).

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

3000480 is a wasteful number, since it uses less digits than its factorization.

3000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3000480 is about 1732.1893660914. The cubic root of 3000480 is about 144.2326486182.

Adding to 3000480 its reverse (840003), we get a palindrome (3840483).

It can be divided in two parts, 3000 and 480, that multiplied together give a square (1440000 = 1200²).

The spelling of 3000480 in words is "three million, four hundred eighty", and thus it is an aban number.