488219472 has 120 divisors (see below), whose sum is σ = 1507564968. Its totient is φ = 146534400.

The previous prime is 488219471. The next prime is 488219483. The reversal of 488219472 is 274912884.

It can be written as a sum of positive squares in 4 ways, for example, as 22695696 + 465523776 = 4764^2 + 21576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488219471) 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 23 ways as a sum of consecutive naturals, for example, 73572 + ... + 79932.

Almost surely, 2^488219472 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 488219472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753782484).

488219472 is an abundant number, since it is smaller than the sum of its proper divisors (1019345496).

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

488219472 is a wasteful number, since it uses less digits than its factorization.

488219472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429 (or 6420 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 488219472 is about 22095.6889912942. The cubic root of 488219472 is about 787.4174450118.

The spelling of 488219472 in words is "four hundred eighty-eight million, two hundred nineteen thousand, four hundred seventy-two".