489906144 has 480 divisors, whose sum is σ = 1857816576. Its totient is φ = 123171840.

The previous prime is 489906121. The next prime is 489906167. The reversal of 489906144 is 441609984.

It is an interprime number because it is at equal distance from previous prime (489906121) and next prime (489906167).

It is a self number, because there is not a number n which added to its sum of digits gives 489906144.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 7311999 + ... + 7312065.

Almost surely, 2^489906144 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 489906144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928908288).

489906144 is an abundant number, since it is smaller than the sum of its proper divisors (1367910432).

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

489906144 is a wasteful number, since it uses less digits than its factorization.

489906144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 489906144 is about 22133.8235287083. The cubic root of 489906144 is about 788.3231773244.

The spelling of 489906144 in words is "four hundred eighty-nine million, nine hundred six thousand, one hundred forty-four".