488031264 has 384 divisors, whose sum is σ = 1780531200. Its totient is φ = 126904320.

The previous prime is 488031253. The next prime is 488031277. The reversal of 488031264 is 462130884.

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 63 ways as a sum of consecutive naturals, for example, 3562204 + ... + 3562340.

It is an arithmetic number, because the mean of its divisors is an integer number (4636800).

Almost surely, 2^488031264 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 488031264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890265600).

488031264 is an abundant number, since it is smaller than the sum of its proper divisors (1292499936).

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

488031264 is a wasteful number, since it uses less digits than its factorization.

488031264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 488031264 is about 22091.4296504323. The cubic root of 488031264 is about 787.3162491914.

The spelling of 488031264 in words is "four hundred eighty-eight million, thirty-one thousand, two hundred sixty-four".