488552480 has 96 divisors (see below), whose sum is σ = 1250457264. Its totient is φ = 179306496.

The previous prime is 488552479. The next prime is 488552483. The reversal of 488552480 is 84255884.

It can be written as a sum of positive squares in 8 ways, for example, as 42667024 + 445885456 = 6532^2 + 21116^2 .

It is not an unprimeable number, because it can be changed into a prime (488552483) 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, 400832 + ... + 402048.

Almost surely, 2^488552480 is an apocalyptic number.

488552480 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 488552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625228632).

488552480 is an abundant number, since it is smaller than the sum of its proper divisors (761904784).

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

488552480 is a wasteful number, since it uses less digits than its factorization.

488552480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 44.

The square root of 488552480 is about 22103.2232943523. The cubic root of 488552480 is about 787.5964333071.

The spelling of 488552480 in words is "four hundred eighty-eight million, five hundred fifty-two thousand, four hundred eighty".