488091744 has 336 divisors, whose sum is σ = 1707703200. Its totient is φ = 137168640.

The previous prime is 488091727. The next prime is 488091767. The reversal of 488091744 is 447190884.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 488091744.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 8001474 + ... + 8001534.

It is an arithmetic number, because the mean of its divisors is an integer number (5082450).

Almost surely, 2^488091744 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 488091744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853851600).

488091744 is an abundant number, since it is smaller than the sum of its proper divisors (1219611456).

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

488091744 is an frugal number, since it uses more digits than its factorization.

488091744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

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

The square root of 488091744 is about 22092.7984646581. The cubic root of 488091744 is about 787.3487709603.

The spelling of 488091744 in words is "four hundred eighty-eight million, ninety-one thousand, seven hundred forty-four".