464832008 has 16 divisors (see below), whose sum is σ = 876078780. Its totient is φ = 231211008.

The previous prime is 464832007. The next prime is 464832029. The reversal of 464832008 is 800238464.

It can be written as a sum of positive squares in 2 ways, for example, as 437562724 + 27269284 = 20918^2 + 5222^2 .

It is a super-2 number, since 2×464832008² = 432137591322624128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (464832007) 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 3 ways as a sum of consecutive naturals, for example, 148985 + ... + 152072.

Almost surely, 2^464832008 is an apocalyptic number.

It is an amenable number.

464832008 is a deficient number, since it is larger than the sum of its proper divisors (411246772).

464832008 is a wasteful number, since it uses less digits than its factorization.

464832008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301256 (or 301252 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 464832008 is about 21559.9630797458. The cubic root of 464832008 is about 774.6377817566.

The spelling of 464832008 in words is "four hundred sixty-four million, eight hundred thirty-two thousand, eight".