481548320 has 96 divisors (see below), whose sum is σ = 1245948480. Its totient is φ = 174423040.

The previous prime is 481548311. The next prime is 481548329. The reversal of 481548320 is 23845184.

It is an interprime number because it is at equal distance from previous prime (481548311) and next prime (481548329).

It is not an unprimeable number, because it can be changed into a prime (481548329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737114 + ... + 737766.

It is an arithmetic number, because the mean of its divisors is an integer number (12978630).

Almost surely, 2^481548320 is an apocalyptic number.

481548320 is a gapful number since it is divisible by the number (40) 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 481548320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622974240).

481548320 is an abundant number, since it is smaller than the sum of its proper divisors (764400160).

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

481548320 is a wasteful number, since it uses less digits than its factorization.

481548320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 481548320 is about 21944.2092589366. The cubic root of 481548320 is about 783.8144951915.

It can be divided in two parts, 4815 and 48320, that added together give a palindrome (53135).

The spelling of 481548320 in words is "four hundred eighty-one million, five hundred forty-eight thousand, three hundred twenty".