480514408825 has 24 divisors (see below), whose sum is σ = 659159971776. Its totient is φ = 344542968000.

The previous prime is 480514408819. The next prime is 480514408849. The reversal of 480514408825 is 528804415084.

It is not a de Polignac number, because 480514408825 - 2⁹ = 480514408313 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12285582 + ... + 12324631.

It is an arithmetic number, because the mean of its divisors is an integer number (27464998824).

Almost surely, 2^480514408825 is an apocalyptic number.

It is an amenable number.

480514408825 is a deficient number, since it is larger than the sum of its proper divisors (178645562951).

480514408825 is a wasteful number, since it uses less digits than its factorization.

480514408825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24610305 (or 24610300 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 49.

The spelling of 480514408825 in words is "four hundred eighty billion, five hundred fourteen million, four hundred eight thousand, eight hundred twenty-five".