488496096 has 144 divisors (see below), whose sum is σ = 1571851008. Its totient is φ = 148003200.

The previous prime is 488496079. The next prime is 488496101. The reversal of 488496096 is 690694884.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 82681 + ... + 88391.

It is an arithmetic number, because the mean of its divisors is an integer number (10915632).

Almost surely, 2^488496096 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 488496096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785925504).

488496096 is an abundant number, since it is smaller than the sum of its proper divisors (1083354912).

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

488496096 is a wasteful number, since it uses less digits than its factorization.

488496096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 488496096 is about 22101.9477874689. The cubic root of 488496096 is about 787.5661332216.

It can be divided in two parts, 48849 and 6096, that added together give a palindrome (54945).

The spelling of 488496096 in words is "four hundred eighty-eight million, four hundred ninety-six thousand, ninety-six".