488440512 has 252 divisors, whose sum is σ = 1679925520. Its totient is φ = 132903936.

The previous prime is 488440501. The next prime is 488440529. The reversal of 488440512 is 215044884.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2132814 + ... + 2133042.

Almost surely, 2^488440512 is an apocalyptic number.

488440512 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 488440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839962760).

488440512 is an abundant number, since it is smaller than the sum of its proper divisors (1191485008).

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

488440512 is a wasteful number, since it uses less digits than its factorization.

488440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 488440512 is about 22100.6903059610. The cubic root of 488440512 is about 787.5362607642.

The spelling of 488440512 in words is "four hundred eighty-eight million, four hundred forty thousand, five hundred twelve".