488649952 has 72 divisors (see below), whose sum is σ = 1125993960. Its totient is φ = 208131840.

The previous prime is 488649949. The next prime is 488649991. The reversal of 488649952 is 259946884.

Its product of digits (4976640) is a multiple of the sum of its prime factors (1944).

It is a junction number, because it is equal to n+sod(n) for n = 488649893 and 488649902.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 279802 + ... + 281542.

It is an arithmetic number, because the mean of its divisors is an integer number (15638805).

Almost surely, 2^488649952 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 488649952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562996980).

488649952 is an abundant number, since it is smaller than the sum of its proper divisors (637344008).

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

488649952 is a wasteful number, since it uses less digits than its factorization.

488649952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1929 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 55.

The square root of 488649952 is about 22105.4281116652. The cubic root of 488649952 is about 787.6488080930.

The spelling of 488649952 in words is "four hundred eighty-eight million, six hundred forty-nine thousand, nine hundred fifty-two".