488144124 has 192 divisors, whose sum is σ = 1486464000. Its totient is φ = 137168640.

The previous prime is 488144123. The next prime is 488144159. The reversal of 488144124 is 421441884.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488144123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 773289 + ... + 773919.

It is an arithmetic number, because the mean of its divisors is an integer number (7742000).

Almost surely, 2^488144124 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 488144124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743232000).

488144124 is an abundant number, since it is smaller than the sum of its proper divisors (998319876).

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

488144124 is a wasteful number, since it uses less digits than its factorization.

488144124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 697 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 488144124 is about 22093.9838870223. The cubic root of 488144124 is about 787.3769349643.

The spelling of 488144124 in words is "four hundred eighty-eight million, one hundred forty-four thousand, one hundred twenty-four".