463544320 has 56 divisors (see below), whose sum is σ = 1112536764. Its totient is φ = 185401344.

The previous prime is 463544299. The next prime is 463544327. The reversal of 463544320 is 23445364.

It can be written as a sum of positive squares in 2 ways, for example, as 437981184 + 25563136 = 20928^2 + 5056^2 .

It is not an unprimeable number, because it can be changed into a prime (463544327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35302 + ... + 46618.

Almost surely, 2^463544320 is an apocalyptic number.

463544320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556268382).

463544320 is an abundant number, since it is smaller than the sum of its proper divisors (648992444).

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

463544320 is an equidigital number, since it uses as much as digits as its factorization.

463544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11348 (or 11324 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 463544320 is about 21530.0794239130. The cubic root of 463544320 is about 773.9218139301.

Adding to 463544320 its reverse (23445364), we get a palindrome (486989684).

The spelling of 463544320 in words is "four hundred sixty-three million, five hundred forty-four thousand, three hundred twenty".