488830752 has 72 divisors (see below), whose sum is σ = 1400227920. Its totient is φ = 161758080.

The previous prime is 488830709. The next prime is 488830777. The reversal of 488830752 is 257038884.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 488830698 and 488830707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33927 + ... + 46137.

It is an arithmetic number, because the mean of its divisors is an integer number (19447610).

Almost surely, 2^488830752 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 488830752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700113960).

488830752 is an abundant number, since it is smaller than the sum of its proper divisors (911397168).

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

488830752 is a wasteful number, since it uses less digits than its factorization.

488830752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12366 (or 12355 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 488830752 is about 22109.5172267510. The cubic root of 488830752 is about 787.7459392085.

The spelling of 488830752 in words is "four hundred eighty-eight million, eight hundred thirty thousand, seven hundred fifty-two".