480926150208 has 336 divisors, whose sum is σ = 1663019280000. Its totient is φ = 132667702272.

The previous prime is 480926150203. The next prime is 480926150209. The reversal of 480926150208 is 802051629084.

480926150208 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 2 + 615 + 0 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×480926150208³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480926150203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5687503 + ... + 5771441.

Almost surely, 2^480926150208 is an apocalyptic number.

480926150208 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 480926150208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831509640000).

480926150208 is an abundant number, since it is smaller than the sum of its proper divisors (1182093129792).

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

480926150208 is a wasteful number, since it uses less digits than its factorization.

480926150208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84007 (or 83980 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 480926150208 in words is "four hundred eighty billion, nine hundred twenty-six million, one hundred fifty thousand, two hundred eight".