463520 has 24 divisors (see below), whose sum is σ = 1095444. Its totient is φ = 185344.

The previous prime is 463513. The next prime is 463523. The reversal of 463520 is 25364.

It can be written as a sum of positive squares in 2 ways, for example, as 425104 + 38416 = 652^2 + 196^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 463492 and 463501.

It is not an unprimeable number, because it can be changed into a prime (463523) by changing a digit.

463520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1289 + ... + 1608.

2⁴⁶³⁵²⁰ is an apocalyptic number.

463520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463520 is an abundant number, since it is smaller than the sum of its proper divisors (631924).

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

463520 is a wasteful number, since it uses less digits than its factorization.

463520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 463520 is about 680.8230313378. The cubic root of 463520 is about 77.3908279009.

Adding to 463520 its reverse (25364), we get a palindrome (488884).

The spelling of 463520 in words is "four hundred sixty-three thousand, five hundred twenty".