488338560 has 192 divisors, whose sum is σ = 1700595000. Its totient is φ = 129122304.

The previous prime is 488338547. The next prime is 488338603. The reversal of 488338560 is 65833884.

488338560 is a `hidden beast` number, since 4 + 8 + 83 + 3 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 205291584 + 283046976 = 14328^2 + 16824^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 857956 + ... + 858524.

Almost surely, 2^488338560 is an apocalyptic number.

488338560 is a gapful number since it is divisible by the number (40) 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 488338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850297500).

488338560 is an abundant number, since it is smaller than the sum of its proper divisors (1212256440).

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

488338560 is a wasteful number, since it uses less digits than its factorization.

488338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 488338560 is about 22098.3836512990. The cubic root of 488338560 is about 787.4814629045.

The spelling of 488338560 in words is "four hundred eighty-eight million, three hundred thirty-eight thousand, five hundred sixty".