465528 has 64 divisors (see below), whose sum is σ = 1416960. Its totient is φ = 124416.

The previous prime is 465523. The next prime is 465529. The reversal of 465528 is 825564.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (9600) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 465495 and 465504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465523) by changing a digit.

465528 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 15 ways as a sum of consecutive naturals, for example, 2775 + ... + 2937.

It is an arithmetic number, because the mean of its divisors is an integer number (22140).

2⁴⁶⁵⁵²⁸ 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 465528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708480).

465528 is an abundant number, since it is smaller than the sum of its proper divisors (951432).

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

465528 is a wasteful number, since it uses less digits than its factorization.

465528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 465528 is about 682.2961233951. The cubic root of 465528 is about 77.5024210135.

The spelling of 465528 in words is "four hundred sixty-five thousand, five hundred twenty-eight".