463628329 has 18 divisors (see below), whose sum is σ = 498167406. Its totient is φ = 431412480.

The previous prime is 463628317. The next prime is 463628357. The reversal of 463628329 is 923826364.

It can be written as a sum of positive squares in 3 ways, for example, as 144648729 + 318979600 = 12027^2 + 17860^2 .

It is not a de Polignac number, because 463628329 - 2⁷ = 463628201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463628129) 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 17 ways as a sum of consecutive naturals, for example, 1923649 + ... + 1923889.

It is an arithmetic number, because the mean of its divisors is an integer number (27675967).

Almost surely, 2^463628329 is an apocalyptic number.

It is an amenable number.

463628329 is a deficient number, since it is larger than the sum of its proper divisors (34539077).

463628329 is an equidigital number, since it uses as much as digits as its factorization.

463628329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 333 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The square root of 463628329 is about 21532.0303037127. The cubic root of 463628329 is about 773.9685642030.

The spelling of 463628329 in words is "four hundred sixty-three million, six hundred twenty-eight thousand, three hundred twenty-nine".