460800003 has 8 divisors (see below), whose sum is σ = 614598400. Its totient is φ = 307100808.

The previous prime is 460800001. The next prime is 460800019. The reversal of 460800003 is 300008064.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 460800003 - 2¹ = 460800001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13183 + ... + 33096.

It is an arithmetic number, because the mean of its divisors is an integer number (76824800).

Almost surely, 2^460800003 is an apocalyptic number.

460800003 is a deficient number, since it is larger than the sum of its proper divisors (153798397).

460800003 is a wasteful number, since it uses less digits than its factorization.

460800003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49601.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 460800003 is about 21466.2526538751. The cubic root of 460800003 is about 772.3915093607.

Adding to 460800003 its reverse (300008064), we get a palindrome (760808067).

The spelling of 460800003 in words is "four hundred sixty million, eight hundred thousand, three".