480114491472 has 480 divisors, whose sum is σ = 1728773280000. Its totient is φ = 123291463680.

The previous prime is 480114491429. The next prime is 480114491531. The reversal of 480114491472 is 274194411084.

480114491472 is a `hidden beast` number, since 4 + 8 + 0 + 114 + 491 + 47 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48349804 + ... + 48359732.

It is an arithmetic number, because the mean of its divisors is an integer number (3601611000).

Almost surely, 2^480114491472 is an apocalyptic number.

480114491472 is a gapful number since it is divisible by the number (42) 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 480114491472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864386640000).

480114491472 is an abundant number, since it is smaller than the sum of its proper divisors (1248658788528).

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

480114491472 is a wasteful number, since it uses less digits than its factorization.

480114491472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10064 (or 10041 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 480114491472 in words is "four hundred eighty billion, one hundred fourteen million, four hundred ninety-one thousand, four hundred seventy-two".