488886624 has 192 divisors, whose sum is σ = 1504198080. Its totient is φ = 154275840.

The previous prime is 488886613. The next prime is 488886637. The reversal of 488886624 is 426688884.

488886624 is a `hidden beast` number, since 4 + 8 + 8 + 8 + 8 + 6 + 624 = 666.

It is a super-2 number, since 2×488886624² = 478020262252234752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310502 + ... + 1310874.

It is an arithmetic number, because the mean of its divisors is an integer number (7834365).

Almost surely, 2^488886624 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 488886624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752099040).

488886624 is an abundant number, since it is smaller than the sum of its proper divisors (1015311456).

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

488886624 is a wasteful number, since it uses less digits than its factorization.

488886624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 488886624 is about 22110.7807189163. The cubic root of 488886624 is about 787.7759504575.

The spelling of 488886624 in words is "four hundred eighty-eight million, eight hundred eighty-six thousand, six hundred twenty-four".