463536 has 80 divisors (see below), whose sum is σ = 1413600. Its totient is φ = 145152.

The previous prime is 463531. The next prime is 463537. The reversal of 463536 is 635364.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (463531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12510 + ... + 12546.

It is an arithmetic number, because the mean of its divisors is an integer number (17670).

2⁴⁶³⁵³⁶ 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 463536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706800).

463536 is an abundant number, since it is smaller than the sum of its proper divisors (950064).

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

463536 is a wasteful number, since it uses less digits than its factorization.

463536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 463536 is about 680.8347817202. The cubic root of 463536 is about 77.3917183616.

It can be divided in two parts, 463 and 536, that added together give a palindrome (999).

The spelling of 463536 in words is "four hundred sixty-three thousand, five hundred thirty-six".