488451060 has 240 divisors, whose sum is σ = 1633761360. Its totient is φ = 121927680.

The previous prime is 488451053. The next prime is 488451071. The reversal of 488451060 is 60154884.

488451060 is a `hidden beast` number, since 4 + 8 + 84 + 510 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31945104 + 456505956 = 5652^2 + 21366^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1738120 + ... + 1738400.

It is an arithmetic number, because the mean of its divisors is an integer number (6807339).

Almost surely, 2^488451060 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 488451060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816880680).

488451060 is an abundant number, since it is smaller than the sum of its proper divisors (1145310300).

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

488451060 is a wasteful number, since it uses less digits than its factorization.

488451060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 488451060 is about 22100.9289397527. The cubic root of 488451060 is about 787.5419297402.

The spelling of 488451060 in words is "four hundred eighty-eight million, four hundred fifty-one thousand, sixty".