480878567424 has 224 divisors, whose sum is σ = 1427805973440. Its totient is φ = 159947882496.

The previous prime is 480878567363. The next prime is 480878567431. The reversal of 480878567424 is 424765878084.

480878567424 is a `hidden beast` number, since 4 + 80 + 8 + 78 + 5 + 67 + 424 = 666.

It is a super-3 number, since 3×480878567424³ (a number of 36 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 115677154 + ... + 115681310.

It is an arithmetic number, because the mean of its divisors is an integer number (6374133810).

Almost surely, 2^480878567424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480878567424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713902986720).

480878567424 is an abundant number, since it is smaller than the sum of its proper divisors (946927406016).

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

480878567424 is an equidigital number, since it uses as much as digits as its factorization.

480878567424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 480878567424 in words is "four hundred eighty billion, eight hundred seventy-eight million, five hundred sixty-seven thousand, four hundred twenty-four".