480522014208 has 120 divisors (see below), whose sum is σ = 1387729371600. Its totient is φ = 160068870144.

The previous prime is 480522014197. The next prime is 480522014261. The reversal of 480522014208 is 802410225084.

480522014208 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 220 + 1 + 420 + 8 = 666.

It is a super-2 number, since 2×480522014208² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7150428 + ... + 7217316.

It is an arithmetic number, because the mean of its divisors is an integer number (11564411430).

Almost surely, 2^480522014208 is an apocalyptic number.

480522014208 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 480522014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693864685800).

480522014208 is an abundant number, since it is smaller than the sum of its proper divisors (907207357392).

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

480522014208 is a wasteful number, since it uses less digits than its factorization.

480522014208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68472 (or 68453 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 480522014208 in words is "four hundred eighty billion, five hundred twenty-two million, fourteen thousand, two hundred eight".