463500 has 72 divisors (see below), whose sum is σ = 1476384. Its totient is φ = 122400.

The previous prime is 463483. The next prime is 463501. The reversal of 463500 is 5364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (463501) by changing a digit.

463500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4449 + ... + 4551.

2⁴⁶³⁵⁰⁰ 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 463500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738192).

463500 is an abundant number, since it is smaller than the sum of its proper divisors (1012884).

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

463500 is a wasteful number, since it uses less digits than its factorization.

463500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 463500 is about 680.8083430746. The cubic root of 463500 is about 77.3897147962.

Adding to 463500 its reverse (5364), we get a palindrome (468864).

It can be divided in two parts, 4 and 63500, that added together give a square (63504 = 252²).

The spelling of 463500 in words is "four hundred sixty-three thousand, five hundred".