488060032 has 64 divisors (see below), whose sum is σ = 1025418240. Its totient is φ = 231045120.

The previous prime is 488060029. The next prime is 488060033. The reversal of 488060032 is 230060884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 488059976 and 488060003.

It is not an unprimeable number, because it can be changed into a prime (488060033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185188 + ... + 187804.

It is an arithmetic number, because the mean of its divisors is an integer number (16022160).

Almost surely, 2^488060032 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 488060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512709120).

488060032 is an abundant number, since it is smaller than the sum of its proper divisors (537358208).

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

488060032 is a wasteful number, since it uses less digits than its factorization.

488060032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 488060032 is about 22092.0807530662. The cubic root of 488060032 is about 787.3317188758.

The spelling of 488060032 in words is "four hundred eighty-eight million, sixty thousand, thirty-two".