463046304 has 96 divisors (see below), whose sum is σ = 1449584640. Its totient is φ = 126542592.

The previous prime is 463046291. The next prime is 463046347. The reversal of 463046304 is 403640364.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477 + ... + 30435.

It is an arithmetic number, because the mean of its divisors is an integer number (15099840).

Almost surely, 2^463046304 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 463046304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724792320).

463046304 is an abundant number, since it is smaller than the sum of its proper divisors (986538336).

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

463046304 is a wasteful number, since it uses less digits than its factorization.

463046304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30002 (or 29994 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 463046304 is about 21518.5107291374. The cubic root of 463046304 is about 773.6445563295.

Adding to 463046304 its reverse (403640364), we get a palindrome (866686668).

The spelling of 463046304 in words is "four hundred sixty-three million, forty-six thousand, three hundred four".