468396144 has 60 divisors (see below), whose sum is σ = 1318174312. Its totient is φ = 155260800.

The previous prime is 468396101. The next prime is 468396161. The reversal of 468396144 is 441693864.

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

It is a self number, because there is not a number n which added to its sum of digits gives 468396144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17079 + ... + 35049.

Almost surely, 2^468396144 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 468396144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659087156).

468396144 is an abundant number, since it is smaller than the sum of its proper divisors (849778168).

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

468396144 is a wasteful number, since it uses less digits than its factorization.

468396144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18166 (or 18157 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 468396144 is about 21642.4615975170. The cubic root of 468396144 is about 776.6126083279.

The spelling of 468396144 in words is "four hundred sixty-eight million, three hundred ninety-six thousand, one hundred forty-four".