480248289612 has 288 divisors, whose sum is σ = 1507861555200. Its totient is φ = 125498419200.

The previous prime is 480248289583. The next prime is 480248289643. The reversal of 480248289612 is 216982842084.

480248289612 is a `hidden beast` number, since 4 + 80 + 2 + 482 + 89 + 6 + 1 + 2 = 666.

It is a super-2 number, since 2×480248289612² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171454612 + ... + 171457412.

It is an arithmetic number, because the mean of its divisors is an integer number (5235630400).

Almost surely, 2^480248289612 is an apocalyptic number.

480248289612 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 480248289612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753930777600).

480248289612 is an abundant number, since it is smaller than the sum of its proper divisors (1027613265588).

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

480248289612 is a wasteful number, since it uses less digits than its factorization.

480248289612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 480248289612 in words is "four hundred eighty billion, two hundred forty-eight million, two hundred eighty-nine thousand, six hundred twelve".