488535624 has 80 divisors (see below), whose sum is σ = 1415591100. Its totient is φ = 157223808.

The previous prime is 488535611. The next prime is 488535643. The reversal of 488535624 is 426535884.

488535624 is a `hidden beast` number, since 4 + 8 + 85 + 3 + 562 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 465782724 + 22752900 = 21582^2 + 4770^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 488535624.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5794 + ... + 31790.

Almost surely, 2^488535624 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 488535624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707795550).

488535624 is an abundant number, since it is smaller than the sum of its proper divisors (927055476).

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

488535624 is a wasteful number, since it uses less digits than its factorization.

488535624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26044 (or 26031 counting only the distinct ones).

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

The square root of 488535624 is about 22102.8419892103. The cubic root of 488535624 is about 787.5873753391.

The spelling of 488535624 in words is "four hundred eighty-eight million, five hundred thirty-five thousand, six hundred twenty-four".