486661968 has 240 divisors, whose sum is σ = 1559900160. Its totient is φ = 140507136.

The previous prime is 486661961. The next prime is 486661979. The reversal of 486661968 is 869166684.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486661961) 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, 3831921 + ... + 3832047.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2^486661968 is an apocalyptic number.

486661968 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 486661968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

486661968 is an abundant number, since it is smaller than the sum of its proper divisors (1073238192).

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

486661968 is a wasteful number, since it uses less digits than its factorization.

486661968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

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

The square root of 486661968 is about 22060.4163152013. The cubic root of 486661968 is about 786.5792207053.

The spelling of 486661968 in words is "four hundred eighty-six million, six hundred sixty-one thousand, nine hundred sixty-eight".