488284608 has 336 divisors, whose sum is σ = 1651186944. Its totient is φ = 126443520.

The previous prime is 488284603. The next prime is 488284619. The reversal of 488284608 is 806482884.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488284603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6877213 + ... + 6877283.

Almost surely, 2^488284608 is an apocalyptic number.

488284608 is a gapful number since it is divisible by the number (48) 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 488284608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825593472).

488284608 is an abundant number, since it is smaller than the sum of its proper divisors (1162902336).

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

488284608 is a wasteful number, since it uses less digits than its factorization.

488284608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The square root of 488284608 is about 22097.1628948153. The cubic root of 488284608 is about 787.4524613278.

The spelling of 488284608 in words is "four hundred eighty-eight million, two hundred eighty-four thousand, six hundred eight".