488586816 has 105 divisors (see below), whose sum is σ = 1453057419. Its totient is φ = 162331776.

The previous prime is 488586719. The next prime is 488586823. The reversal of 488586816 is 618685884.

The square root of 488586816 is 22104.

It is a perfect power (a square), and thus also a powerful number.

488586816 is a `hidden beast` number, since 48 + 8 + 586 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1591335 + ... + 1591641.

Almost surely, 2^488586816 is an apocalyptic number.

488586816 is the 22104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488586816

488586816 is an abundant number, since it is smaller than the sum of its proper divisors (964470603).

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

488586816 is an frugal number, since it uses more digits than its factorization.

488586816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 312 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The cubic root of 488586816 is about 787.6148839197.

It can be divided in two parts, 4885868 and 16, that added together give a palindrome (4885884).

The spelling of 488586816 in words is "four hundred eighty-eight million, five hundred eighty-six thousand, eight hundred sixteen".