464364009 has 48 divisors (see below), whose sum is σ = 749548800. Its totient is φ = 286339536.

The previous prime is 464363989. The next prime is 464364011. The reversal of 464364009 is 900463464.

464364009 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 640 + 0 + 9 = 666.

It is not a de Polignac number, because 464364009 - 2¹⁹ = 463839721 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (464364029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197362 + ... + 199700.

It is an arithmetic number, because the mean of its divisors is an integer number (15615600).

Almost surely, 2^464364009 is an apocalyptic number.

It is an amenable number.

464364009 is a deficient number, since it is larger than the sum of its proper divisors (285184791).

464364009 is a wasteful number, since it uses less digits than its factorization.

464364009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 464364009 is about 21549.1069188493. The cubic root of 464364009 is about 774.3777226129.

The spelling of 464364009 in words is "four hundred sixty-four million, three hundred sixty-four thousand, nine".