488552064 has 512 divisors, whose sum is σ = 1842462720. Its totient is φ = 110592000.

The previous prime is 488552063. The next prime is 488552087. The reversal of 488552064 is 460255884.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (488552063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11915884 + ... + 11915924.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2^488552064 is an apocalyptic number.

488552064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921231360).

488552064 is an abundant number, since it is smaller than the sum of its proper divisors (1353910656).

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

488552064 is a wasteful number, since it uses less digits than its factorization.

488552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 488552064 is about 22103.2138839581. The cubic root of 488552064 is about 787.5962097622.

The spelling of 488552064 in words is "four hundred eighty-eight million, five hundred fifty-two thousand, sixty-four".