463524 has 36 divisors (see below), whose sum is σ = 1152144. Its totient is φ = 145008.

The previous prime is 463523. The next prime is 463531. The reversal of 463524 is 425364.

It is a junction number, because it is equal to n+sod(n) for n = 463494 and 463503.

It is not an unprimeable number, because it can be changed into a prime (463523) 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, 4279 + ... + 4385.

It is an arithmetic number, because the mean of its divisors is an integer number (32004).

2⁴⁶³⁵²⁴ 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 463524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576072).

463524 is an abundant number, since it is smaller than the sum of its proper divisors (688620).

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

463524 is a wasteful number, since it uses less digits than its factorization.

463524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 463524 is about 680.8259689524. The cubic root of 463524 is about 77.3910505180.

Adding to 463524 its reverse (425364), we get a palindrome (888888).

It can be divided in two parts, 46 and 3524, that added together give a triangular number (3570 = T₈₄).

The spelling of 463524 in words is "four hundred sixty-three thousand, five hundred twenty-four".