480824763856452 has 96 divisors (see below), whose sum is σ = 1265506055452800. Its totient is φ = 157859237897856.

The previous prime is 480824763856433. The next prime is 480824763856469. The reversal of 480824763856452 is 254658367428084.

480824763856452 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 2 + 4 + 7 + 6 + 3 + 8 + 564 + 52 = 666.

It is a super-3 number, since 3×480824763856452³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118255827 + ... + 122254202.

It is an arithmetic number, because the mean of its divisors is an integer number (13182354744300).

Almost surely, 2^{480824763856452} is an apocalyptic number.

It is an amenable number.

480824763856452 is an abundant number, since it is smaller than the sum of its proper divisors (784681291596348).

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

480824763856452 is a wasteful number, since it uses less digits than its factorization.

480824763856452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240510322 (or 240510314 counting only the distinct ones).

The product of its (nonzero) digits is 2477260800, while the sum is 72.

The spelling of 480824763856452 in words is "four hundred eighty trillion, eight hundred twenty-four billion, seven hundred sixty-three million, eight hundred fifty-six thousand, four hundred fifty-two".