480791046010704 has 1920 divisors, whose sum is σ = 1599369919488000. Its totient is φ = 123098330234880.

The previous prime is 480791046010679. The next prime is 480791046010753. The reversal of 480791046010704 is 407010640197084.

It is a happy number.

It is a super-3 number, since 3×480791046010704³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 779239944604 + ... + 779239945220.

It is an arithmetic number, because the mean of its divisors is an integer number (833005166400).

Almost surely, 2^{480791046010704} is an apocalyptic number.

480791046010704 is a gapful number since it is divisible by the number (44) 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 480791046010704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799684959744000).

480791046010704 is an abundant number, since it is smaller than the sum of its proper divisors (1118578873477296).

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

480791046010704 is a wasteful number, since it uses less digits than its factorization.

480791046010704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 480791046010704 in words is "four hundred eighty trillion, seven hundred ninety-one billion, forty-six million, ten thousand, seven hundred four".