463300 has 36 divisors (see below), whose sum is σ = 1038996. Its totient is φ = 179200.

The previous prime is 463297. The next prime is 463303. The reversal of 463300 is 3364.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (463297) and next prime (463303).

It can be written as a sum of positive squares in 6 ways, for example, as 215296 + 248004 = 464^2 + 498^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4044 + ... + 4156.

It is an arithmetic number, because the mean of its divisors is an integer number (28861).

2⁴⁶³³⁰⁰ 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 463300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519498).

463300 is an abundant number, since it is smaller than the sum of its proper divisors (575696).

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

463300 is a wasteful number, since it uses less digits than its factorization.

463300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 463300 is about 680.6614430097. The cubic root of 463300 is about 77.3785819881.

Adding to 463300 its reverse (3364), we get a palindrome (466664).

The spelling of 463300 in words is "four hundred sixty-three thousand, three hundred".