463449504 has 96 divisors (see below), whose sum is σ = 1435262976. Its totient is φ = 128136960.

The previous prime is 463449449. The next prime is 463449521. The reversal of 463449504 is 405944364.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9709 + ... + 31955.

It is an arithmetic number, because the mean of its divisors is an integer number (14950656).

Almost surely, 2^463449504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463449504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717631488).

463449504 is an abundant number, since it is smaller than the sum of its proper divisors (971813472).

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

463449504 is a wasteful number, since it uses less digits than its factorization.

463449504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22298 (or 22290 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 463449504 is about 21527.8773686585. The cubic root of 463449504 is about 773.8690428707.

The spelling of 463449504 in words is "four hundred sixty-three million, four hundred forty-nine thousand, five hundred four".