489913632 has 288 divisors, whose sum is σ = 1618081920. Its totient is φ = 139345920.

The previous prime is 489913607. The next prime is 489913643. The reversal of 489913632 is 236319984.

It is a happy number.

489913632 is a `hidden beast` number, since 4 + 8 + 9 + 9 + 1 + 3 + 632 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (279936) is a multiple of the sum of its prime factors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5050608 + ... + 5050704.

It is an arithmetic number, because the mean of its divisors is an integer number (5618340).

Almost surely, 2^489913632 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 489913632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809040960).

489913632 is an abundant number, since it is smaller than the sum of its proper divisors (1128168288).

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

489913632 is a wasteful number, since it uses less digits than its factorization.

489913632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 489913632 is about 22133.9926809421. The cubic root of 489913632 is about 788.3271936950.

It can be divided in two parts, 489913 and 632, that added together give a triangular number (490545 = T₉₉₀).

The spelling of 489913632 in words is "four hundred eighty-nine million, nine hundred thirteen thousand, six hundred thirty-two".