480551908032 has 448 divisors, whose sum is σ = 1712195712000. Its totient is φ = 129022377984.

The previous prime is 480551908019. The next prime is 480551908063. The reversal of 480551908032 is 230809155084.

480551908032 is a `hidden beast` number, since 4 + 8 + 0 + 551 + 90 + 8 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×480551908032² (a number of 24 digits) contains 22 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 63 ways as a sum of consecutive naturals, for example, 170467519 + ... + 170470337.

Almost surely, 2^480551908032 is an apocalyptic number.

480551908032 is a gapful number since it is divisible by the number (42) 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 480551908032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856097856000).

480551908032 is an abundant number, since it is smaller than the sum of its proper divisors (1231643803968).

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

480551908032 is a wasteful number, since it uses less digits than its factorization.

480551908032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 480551908032 in words is "four hundred eighty billion, five hundred fifty-one million, nine hundred eight thousand, thirty-two".