488516832 has 240 divisors, whose sum is σ = 1523990160. Its totient is φ = 153280512.

The previous prime is 488516827. The next prime is 488516839. The reversal of 488516832 is 238615884.

488516832 is a `hidden beast` number, since 488 + 5 + 168 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488516839) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5036208 + ... + 5036304.

It is an arithmetic number, because the mean of its divisors is an integer number (6349959).

Almost surely, 2^488516832 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 488516832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761995080).

488516832 is an abundant number, since it is smaller than the sum of its proper divisors (1035473328).

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

488516832 is a wasteful number, since it uses less digits than its factorization.

488516832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 488516832 is about 22102.4168814182. The cubic root of 488516832 is about 787.5772767704.

The spelling of 488516832 in words is "four hundred eighty-eight million, five hundred sixteen thousand, eight hundred thirty-two".