460224001 has 2 divisors, whose sum is σ = 460224002. Its totient is φ = 460224000.

The previous prime is 460223993. The next prime is 460224041. The reversal of 460224001 is 100422064.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403206400 + 57017601 = 20080^2 + 7551^2 .

It is a cyclic number.

It is not a de Polignac number, because 460224001 - 2³ = 460223993 is a prime.

It is a super-2 number, since 2×460224001² = 423612262192896002, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 460224001.

It is not a weakly prime, because it can be changed into another prime (460224041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230112000 + 230112001.

It is an arithmetic number, because the mean of its divisors is an integer number (230112001).

Almost surely, 2^460224001 is an apocalyptic number.

It is an amenable number.

460224001 is a deficient number, since it is larger than the sum of its proper divisors (1).

460224001 is an equidigital number, since it uses as much as digits as its factorization.

460224001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 460224001 is about 21452.8320041900. The cubic root of 460224001 is about 772.0695442599.

Adding to 460224001 its reverse (100422064), we get a palindrome (560646065).

The spelling of 460224001 in words is "four hundred sixty million, two hundred twenty-four thousand, one".