468500 has 24 divisors (see below), whose sum is σ = 1024296. Its totient is φ = 187200.

The previous prime is 468499. The next prime is 468509. The reversal of 468500 is 5864.

It can be written as a sum of positive squares in 4 ways, for example, as 103684 + 364816 = 322^2 + 604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468509) 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, 32 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (42679).

2⁴⁶⁸⁵⁰⁰ 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 468500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512148).

468500 is an abundant number, since it is smaller than the sum of its proper divisors (555796).

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

468500 is a wasteful number, since it uses less digits than its factorization.

468500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 468500 is about 684.4705983459. The cubic root of 468500 is about 77.6670002708.

The spelling of 468500 in words is "four hundred sixty-eight thousand, five hundred".