460800001 has 2 divisors, whose sum is σ = 460800002. Its totient is φ = 460800000.

The previous prime is 460799993. The next prime is 460800019. The reversal of 460800001 is 100008064.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399960001 + 60840000 = 19999^2 + 7800^2 .

It is a cyclic number.

It is not a de Polignac number, because 460800001 - 2³ = 460799993 is a prime.

It is not a weakly prime, because it can be changed into another prime (460800091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230400000 + 230400001.

It is an arithmetic number, because the mean of its divisors is an integer number (230400001).

Almost surely, 2^460800001 is an apocalyptic number.

It is an amenable number.

460800001 is a deficient number, since it is larger than the sum of its proper divisors (1).

460800001 is an equidigital number, since it uses as much as digits as its factorization.

460800001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 460800001 is about 21466.2526072904. The cubic root of 460800001 is about 772.3915082432.

Adding to 460800001 its reverse (100008064), we get a palindrome (560808065).

The spelling of 460800001 in words is "four hundred sixty million, eight hundred thousand, one".