480106077048 has 768 divisors, whose sum is σ = 1582543872000. Its totient is φ = 130069463040.

The previous prime is 480106077041. The next prime is 480106077053. The reversal of 480106077048 is 840770601084.

480106077048 is a `hidden beast` number, since 480 + 1 + 0 + 60 + 7 + 70 + 48 = 666.

It is a super-2 number, since 2×480106077048² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480106076994 and 480106077012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480106077041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2412593253 + ... + 2412593451.

It is an arithmetic number, because the mean of its divisors is an integer number (2060604000).

Almost surely, 2^480106077048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480106077048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791271936000).

480106077048 is an abundant number, since it is smaller than the sum of its proper divisors (1102437794952).

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

480106077048 is a wasteful number, since it uses less digits than its factorization.

480106077048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 480106077048 in words is "four hundred eighty billion, one hundred six million, seventy-seven thousand, forty-eight".