480012480 has 168 divisors, whose sum is σ = 1712470032. Its totient is φ = 127982592.

The previous prime is 480012419. The next prime is 480012487. The reversal of 480012480 is 84210084.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (480012487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74674 + ... + 80846.

It is an arithmetic number, because the mean of its divisors is an integer number (10193274).

Almost surely, 2^480012480 is an apocalyptic number.

480012480 is a gapful number since it is divisible by the number (40) 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 480012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856235016).

480012480 is an abundant number, since it is smaller than the sum of its proper divisors (1232457552).

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

480012480 is an equidigital number, since it uses as much as digits as its factorization.

480012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 480012480 is about 21909.1871140853. The cubic root of 480012480 is about 782.9803139455.

The spelling of 480012480 in words is "four hundred eighty million, twelve thousand, four hundred eighty".