488564352 has 128 divisors (see below), whose sum is σ = 1449624000. Its totient is φ = 161989632.

The previous prime is 488564341. The next prime is 488564353. The reversal of 488564352 is 253465884.

488564352 is a `hidden beast` number, since 4 + 88 + 564 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 488564298 and 488564307.

It is not an unprimeable number, because it can be changed into a prime (488564353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288899 + ... + 1289277.

Almost surely, 2^488564352 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 488564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724812000).

488564352 is an abundant number, since it is smaller than the sum of its proper divisors (961059648).

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

488564352 is a wasteful number, since it uses less digits than its factorization.

488564352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 757 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 488564352 is about 22103.4918508366. The cubic root of 488564352 is about 787.6028128804.

The spelling of 488564352 in words is "four hundred eighty-eight million, five hundred sixty-four thousand, three hundred fifty-two".