481480608 has 96 divisors (see below), whose sum is σ = 1452173184. Its totient is φ = 136829952.

The previous prime is 481480603. The next prime is 481480619. The reversal of 481480608 is 806084184.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (481480603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130566 + ... + 134202.

It is an arithmetic number, because the mean of its divisors is an integer number (15126804).

Almost surely, 2^481480608 is an apocalyptic number.

481480608 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 481480608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726086592).

481480608 is an abundant number, since it is smaller than the sum of its proper divisors (970692576).

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

481480608 is a wasteful number, since it uses less digits than its factorization.

481480608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 481480608 is about 21942.6663830994. Note that the first 3 decimals coincide. The cubic root of 481480608 is about 783.7777552752. Note that the first 4 decimals are identical.

The spelling of 481480608 in words is "four hundred eighty-one million, four hundred eighty thousand, six hundred eight".