488480004048 has 20 divisors (see below), whose sum is σ = 1261906677248. Its totient is φ = 162826668000.

The previous prime is 488480004017. The next prime is 488480004049. The reversal of 488480004048 is 840400084884.

It is a happy number.

It is a super-2 number, since 2×488480004048² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 10176666751 = 488480004048 / (4 + 8 + 8 + 4 + 8 + 0 + 0 + 0 + 4 + 0 + 4 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 488480003988 and 488480004006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488480004049) 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 3 ways as a sum of consecutive naturals, for example, 5088333328 + ... + 5088333423.

Almost surely, 2^488480004048 is an apocalyptic number.

488480004048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

488480004048 is an abundant number, since it is smaller than the sum of its proper divisors (773426673200).

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

488480004048 is a wasteful number, since it uses less digits than its factorization.

488480004048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10176666762 (or 10176666756 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 488480004048 in words is "four hundred eighty-eight billion, four hundred eighty million, four thousand, forty-eight".