488144160 has 288 divisors, whose sum is σ = 1931005440. Its totient is φ = 109983744.

The previous prime is 488144159. The next prime is 488144191. The reversal of 488144160 is 61441884.

488144160 is a `hidden beast` number, since 488 + 14 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796014 + ... + 796626.

It is an arithmetic number, because the mean of its divisors is an integer number (6704880).

Almost surely, 2^488144160 is an apocalyptic number.

488144160 is a gapful number since it is divisible by the number (40) 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 488144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965502720).

488144160 is an abundant number, since it is smaller than the sum of its proper divisors (1442861280).

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

488144160 is a wasteful number, since it uses less digits than its factorization.

488144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 488144160 is about 22093.9847017237. The cubic root of 488144160 is about 787.3769543203.

The spelling of 488144160 in words is "four hundred eighty-eight million, one hundred forty-four thousand, one hundred sixty".