460384641 has 14 divisors (see below), whose sum is σ = 690262290. Its totient is φ = 306922608.

The previous prime is 460384621. The next prime is 460384651. The reversal of 460384641 is 146483064.

460384641 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 8 + 4 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 415548225 + 44836416 = 20385^2 + 6696^2 .

It is not a de Polignac number, because 460384641 - 2¹⁷ = 460253569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 460384596 and 460384605.

It is not an unprimeable number, because it can be changed into a prime (460384621) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 315036 + ... + 316493.

Almost surely, 2^460384641 is an apocalyptic number.

It is an amenable number.

460384641 is a deficient number, since it is larger than the sum of its proper divisors (229877649).

460384641 is an frugal number, since it uses more digits than its factorization.

460384641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631547 (or 631532 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 460384641 is about 21456.5757053636. The cubic root of 460384641 is about 772.1593634377.

The spelling of 460384641 in words is "four hundred sixty million, three hundred eighty-four thousand, six hundred forty-one".