487623168 has 240 divisors, whose sum is σ = 1508106600. Its totient is φ = 151388160.

The previous prime is 487623107. The next prime is 487623181. The reversal of 487623168 is 861326784.

487623168 is a `hidden beast` number, since 4 + 8 + 7 + 623 + 16 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 222845184 + 264777984 = 14928^2 + 16272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5478868 + ... + 5478956.

Almost surely, 2^487623168 is an apocalyptic number.

487623168 is a gapful number since it is divisible by the number (48) 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 487623168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754053300).

487623168 is an abundant number, since it is smaller than the sum of its proper divisors (1020483432).

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

487623168 is a wasteful number, since it uses less digits than its factorization.

487623168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 487623168 is about 22082.1911956219. The cubic root of 487623168 is about 787.0967344216.

The spelling of 487623168 in words is "four hundred eighty-seven million, six hundred twenty-three thousand, one hundred sixty-eight".