488609460 has 72 divisors (see below), whose sum is σ = 1485305640. Its totient is φ = 130015488.

The previous prime is 488609413. The next prime is 488609479. The reversal of 488609460 is 64906884.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 278823204 + 209786256 = 16698^2 + 14484^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88954 + ... + 94286.

It is an arithmetic number, because the mean of its divisors is an integer number (20629245).

Almost surely, 2^488609460 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 488609460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742652820).

488609460 is an abundant number, since it is smaller than the sum of its proper divisors (996696180).

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

488609460 is a wasteful number, since it uses less digits than its factorization.

488609460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 488609460 is about 22104.5122090491. The cubic root of 488609460 is about 787.6270513076.

The spelling of 488609460 in words is "four hundred eighty-eight million, six hundred nine thousand, four hundred sixty".