468144 has 30 divisors (see below), whose sum is σ = 1310556. Its totient is φ = 156000.

The previous prime is 468137. The next prime is 468151. The reversal of 468144 is 441864.

468144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (468137) and next prime (468151).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

468144 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 5 ways as a sum of consecutive naturals, for example, 1482 + ... + 1769.

2⁴⁶⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

468144 is an abundant number, since it is smaller than the sum of its proper divisors (842412).

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

468144 is a wasteful number, since it uses less digits than its factorization.

468144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3256 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 468144 is about 684.2104939271. The cubic root of 468144 is about 77.6473229613.

The spelling of 468144 in words is "four hundred sixty-eight thousand, one hundred forty-four".