463200 has 72 divisors (see below), whose sum is σ = 1515528. Its totient is φ = 122880.

The previous prime is 463189. The next prime is 463207. The reversal of 463200 is 2364.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 463200.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 463200.

It is not an unprimeable number, because it can be changed into a prime (463207) by changing a digit.

463200 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 11 ways as a sum of consecutive naturals, for example, 2304 + ... + 2496.

It is an arithmetic number, because the mean of its divisors is an integer number (21049).

2⁴⁶³²⁰⁰ is an apocalyptic number.

463200 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 463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757764).

463200 is an abundant number, since it is smaller than the sum of its proper divisors (1052328).

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

463200 is a wasteful number, since it uses less digits than its factorization.

463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 463200 is about 680.5879810869. The cubic root of 463200 is about 77.3730143825.

Adding to 463200 its reverse (2364), we get a palindrome (465564).

The spelling of 463200 in words is "four hundred sixty-three thousand, two hundred".