462641868 has 288 divisors, whose sum is σ = 1438295040. Its totient is φ = 128770560.

The previous prime is 462641819. The next prime is 462641897. The reversal of 462641868 is 868146264.

462641868 is a `hidden beast` number, since 4 + 626 + 4 + 18 + 6 + 8 = 666.

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, 9843421 + ... + 9843467.

It is an arithmetic number, because the mean of its divisors is an integer number (4994080).

Almost surely, 2^462641868 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 462641868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719147520).

462641868 is an abundant number, since it is smaller than the sum of its proper divisors (975653172).

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

462641868 is a wasteful number, since it uses less digits than its factorization.

462641868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 462641868 is about 21509.1112787116. Note that the first 3 decimals coincide. The cubic root of 462641868 is about 773.4192506768.

The spelling of 462641868 in words is "four hundred sixty-two million, six hundred forty-one thousand, eight hundred sixty-eight".