468700 has 36 divisors (see below), whose sum is σ = 1050280. Its totient is φ = 181440.

The previous prime is 468697. The next prime is 468703. The reversal of 468700 is 7864.

It is an interprime number because it is at equal distance from previous prime (468697) and next prime (468703).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4246 + ... + 4354.

2⁴⁶⁸⁷⁰⁰ 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 468700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525140).

468700 is an abundant number, since it is smaller than the sum of its proper divisors (581580).

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

468700 is a wasteful number, since it uses less digits than its factorization.

468700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 468700 is about 684.6166810705. The cubic root of 468700 is about 77.6780505662.

The spelling of 468700 in words is "four hundred sixty-eight thousand, seven hundred".