488082816 has 288 divisors, whose sum is σ = 1601542800. Its totient is φ = 142331904.

The previous prime is 488082787. The next prime is 488082823. The reversal of 488082816 is 618280884.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4477770 + ... + 4477878.

Almost surely, 2^488082816 is an apocalyptic number.

488082816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800771400).

488082816 is an abundant number, since it is smaller than the sum of its proper divisors (1113459984).

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

488082816 is a wasteful number, since it uses less digits than its factorization.

488082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 488082816 is about 22092.5964069414. The cubic root of 488082816 is about 787.3439702968.

The spelling of 488082816 in words is "four hundred eighty-eight million, eighty-two thousand, eight hundred sixteen".