468300 has 72 divisors (see below), whose sum is σ = 1555456. Its totient is φ = 106560.

The previous prime is 468289. The next prime is 468319. The reversal of 468300 is 3864.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1989 + ... + 2211.

2⁴⁶⁸³⁰⁰ 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 468300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777728).

468300 is an abundant number, since it is smaller than the sum of its proper divisors (1087156).

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

468300 is a wasteful number, since it uses less digits than its factorization.

468300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 468300 is about 684.3244844370. The cubic root of 468300 is about 77.6559468300.

The spelling of 468300 in words is "four hundred sixty-eight thousand, three hundred".