488694960 has 240 divisors, whose sum is σ = 1787385600. Its totient is φ = 118941696.

The previous prime is 488694959. The next prime is 488694967. The reversal of 488694960 is 69496884.

488694960 is a `hidden beast` number, since 488 + 69 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 488694897 and 488694906.

It is not an unprimeable number, because it can be changed into a prime (488694967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1020001 + ... + 1020479.

It is an arithmetic number, because the mean of its divisors is an integer number (7447440).

Almost surely, 2^488694960 is an apocalyptic number.

488694960 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 488694960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893692800).

488694960 is an abundant number, since it is smaller than the sum of its proper divisors (1298690640).

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

488694960 is a wasteful number, since it uses less digits than its factorization.

488694960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 488694960 is about 22106.4461187229. The cubic root of 488694960 is about 787.6729899633.

The spelling of 488694960 in words is "four hundred eighty-eight million, six hundred ninety-four thousand, nine hundred sixty".