488435472 has 120 divisors (see below), whose sum is σ = 1573054080. Its totient is φ = 138585600.

The previous prime is 488435461. The next prime is 488435509. The reversal of 488435472 is 274534884.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150604 + ... + 153812.

It is an arithmetic number, because the mean of its divisors is an integer number (13108784).

Almost surely, 2^488435472 is an apocalyptic number.

488435472 is a gapful number since it is divisible by the number (42) 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 488435472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786527040).

488435472 is an abundant number, since it is smaller than the sum of its proper divisors (1084618608).

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

488435472 is a wasteful number, since it uses less digits than its factorization.

488435472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3372 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 488435472 is about 22100.5762820792. The cubic root of 488435472 is about 787.5335520096.

The spelling of 488435472 in words is "four hundred eighty-eight million, four hundred thirty-five thousand, four hundred seventy-two".