480956834208 has 96 divisors (see below), whose sum is σ = 1294057550016. Its totient is φ = 156325736448.

The previous prime is 480956834207. The next prime is 480956834219. The reversal of 480956834208 is 802438659084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×480956834208³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480956834207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2349666 + ... + 2546142.

It is an arithmetic number, because the mean of its divisors is an integer number (13479766146).

Almost surely, 2^480956834208 is an apocalyptic number.

480956834208 is a gapful number since it is divisible by the number (48) 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 480956834208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647028775008).

480956834208 is an abundant number, since it is smaller than the sum of its proper divisors (813100715808).

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

480956834208 is a wasteful number, since it uses less digits than its factorization.

480956834208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197126 (or 197118 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 480956834208 in words is "four hundred eighty billion, nine hundred fifty-six million, eight hundred thirty-four thousand, two hundred eight".