481128648 has 192 divisors, whose sum is σ = 1644390720. Its totient is φ = 115315200.

The previous prime is 481128631. The next prime is 481128653. The reversal of 481128648 is 846821184.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166738 + ... + 169598.

It is an arithmetic number, because the mean of its divisors is an integer number (8564535).

Almost surely, 2^481128648 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 481128648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822195360).

481128648 is an abundant number, since it is smaller than the sum of its proper divisors (1163262072).

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

481128648 is a wasteful number, since it uses less digits than its factorization.

481128648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2897 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 481128648 is about 21934.6449253230. The cubic root of 481128648 is about 783.5867294696.

The spelling of 481128648 in words is "four hundred eighty-one million, one hundred twenty-eight thousand, six hundred forty-eight".