468420 has 48 divisors (see below), whose sum is σ = 1353408. Its totient is φ = 120960.

The previous prime is 468389. The next prime is 468421. The reversal of 468420 is 24864.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (468421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2115 + ... + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (28196).

2⁴⁶⁸⁴²⁰ 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 468420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676704).

468420 is an abundant number, since it is smaller than the sum of its proper divisors (884988).

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

468420 is a wasteful number, since it uses less digits than its factorization.

468420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 468420 is about 684.4121565256. The cubic root of 468420 is about 77.6625792720.

Subtracting from 468420 its reverse (24864), we obtain a square (443556 = 666²).

It can be divided in two parts, 468 and 420, that added together give a palindrome (888).

The spelling of 468420 in words is "four hundred sixty-eight thousand, four hundred twenty".