480928905506560 has 1152 divisors, whose sum is σ = 1427430703104000. Its totient is φ = 151605526265856.

The previous prime is 480928905506519. The next prime is 480928905506677. The reversal of 480928905506560 is 65605509829084.

It is a super-3 number, since 3×480928905506560³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 376019472001 + ... + 376019473279.

It is an arithmetic number, because the mean of its divisors is an integer number (1239089152000).

Almost surely, 2^{480928905506560} is an apocalyptic number.

480928905506560 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 480928905506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713715351552000).

480928905506560 is an abundant number, since it is smaller than the sum of its proper divisors (946501797597440).

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

480928905506560 is a wasteful number, since it uses less digits than its factorization.

480928905506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 67.

The spelling of 480928905506560 in words is "four hundred eighty trillion, nine hundred twenty-eight billion, nine hundred five million, five hundred six thousand, five hundred sixty".