468520 has 64 divisors (see below), whose sum is σ = 1224720. Its totient is φ = 159744.

The previous prime is 468509. The next prime is 468527. The reversal of 468520 is 25864.

It can be written as a sum of positive squares in 8 ways, for example, as 232324 + 236196 = 482^2 + 486^2 .

It is a congruent number.

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

468520 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, 8814 + ... + 8866.

2⁴⁶⁸⁵²⁰ is an apocalyptic number.

468520 is a gapful number since it is divisible by the number (40) 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 468520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612360).

468520 is an abundant number, since it is smaller than the sum of its proper divisors (756200).

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

468520 is a wasteful number, since it uses less digits than its factorization.

468520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 468520 is about 684.4852080213. The cubic root of 468520 is about 77.6681054418.

The spelling of 468520 in words is "four hundred sixty-eight thousand, five hundred twenty".