468528 has 40 divisors (see below), whose sum is σ = 1243968. Its totient is φ = 151872.

The previous prime is 468527. The next prime is 468551. The reversal of 468528 is 825864.

It is not an unprimeable number, because it can be changed into a prime (468527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1951 + ... + 2177.

468528 is a Friedman number, since it can be written as (8+(6*5-8)^4)*2, using all its digits and the basic arithmetic operations.

2⁴⁶⁸⁵²⁸ is an apocalyptic number.

468528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621984).

468528 is an abundant number, since it is smaller than the sum of its proper divisors (775440).

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

468528 is a wasteful number, since it uses less digits than its factorization.

468528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 468528 is about 684.4910518042. The cubic root of 468528 is about 77.6685475014.

The spelling of 468528 in words is "four hundred sixty-eight thousand, five hundred twenty-eight".