487992960 has 768 divisors, whose sum is σ = 2227680000. Its totient is φ = 97542144.

The previous prime is 487992943. The next prime is 487992991. The reversal of 487992960 is 69299784.

It is a junction number, because it is equal to n+sod(n) for n = 487992897 and 487992906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25683831 + ... + 25683849.

It is an arithmetic number, because the mean of its divisors is an integer number (2900625).

Almost surely, 2^487992960 is an apocalyptic number.

487992960 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 487992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840000).

487992960 is an abundant number, since it is smaller than the sum of its proper divisors (1739687040).

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

487992960 is a wasteful number, since it uses less digits than its factorization.

487992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 487992960 is about 22090.5626908868. The cubic root of 487992960 is about 787.2956506814.

The spelling of 487992960 in words is "four hundred eighty-seven million, nine hundred ninety-two thousand, nine hundred sixty".