463530320 has 40 divisors (see below), whose sum is σ = 1175683680. Its totient is φ = 168556160.

The previous prime is 463530317. The next prime is 463530329. The reversal of 463530320 is 23035364.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×463530320³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 463530320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463530329) 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 7 ways as a sum of consecutive naturals, for example, 262490 + ... + 264249.

It is an arithmetic number, because the mean of its divisors is an integer number (29392092).

Almost surely, 2^463530320 is an apocalyptic number.

463530320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463530320 is an abundant number, since it is smaller than the sum of its proper divisors (712153360).

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

463530320 is a wasteful number, since it uses less digits than its factorization.

463530320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526763 (or 526757 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 463530320 is about 21529.7542949287. The cubic root of 463530320 is about 773.9140225036.

Adding to 463530320 its reverse (23035364), we get a palindrome (486565684).

The spelling of 463530320 in words is "four hundred sixty-three million, five hundred thirty thousand, three hundred twenty".