460821306 has 32 divisors (see below), whose sum is σ = 1006197696. Its totient is φ = 139536000.

The previous prime is 460821301. The next prime is 460821341. The reversal of 460821306 is 603128064.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (460821301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149016 + ... + 152076.

It is an arithmetic number, because the mean of its divisors is an integer number (31443678).

Almost surely, 2^460821306 is an apocalyptic number.

460821306 is an abundant number, since it is smaller than the sum of its proper divisors (545376390).

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

460821306 is a wasteful number, since it uses less digits than its factorization.

460821306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 460821306 is about 21466.7488455984. The cubic root of 460821306 is about 772.4034118511.

The spelling of 460821306 in words is "four hundred sixty million, eight hundred twenty-one thousand, three hundred six".