468393152 has 56 divisors (see below), whose sum is σ = 984046800. Its totient is φ = 220824576.

The previous prime is 468393151. The next prime is 468393157. The reversal of 468393152 is 251393864.

It is not an unprimeable number, because it can be changed into a prime (468393151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76874 + ... + 82742.

Almost surely, 2^468393152 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 468393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492023400).

468393152 is an abundant number, since it is smaller than the sum of its proper divisors (515653648).

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

468393152 is a wasteful number, since it uses less digits than its factorization.

468393152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5953 (or 5943 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 468393152 is about 21642.3924740311. The cubic root of 468393152 is about 776.6109547206.

The spelling of 468393152 in words is "four hundred sixty-eight million, three hundred ninety-three thousand, one hundred fifty-two".