468501120 has 192 divisors, whose sum is σ = 1630980000. Its totient is φ = 123918336.

The previous prime is 468501101. The next prime is 468501139. The reversal of 468501120 is 21105864.

It is an interprime number because it is at equal distance from previous prime (468501101) and next prime (468501139).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 938631 + ... + 939129.

Almost surely, 2^468501120 is an apocalyptic number.

468501120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815490000).

468501120 is an abundant number, since it is smaller than the sum of its proper divisors (1162478880).

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

468501120 is a wasteful number, since it uses less digits than its factorization.

468501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 468501120 is about 21644.8866940901. The cubic root of 468501120 is about 776.6706216118.

Adding to 468501120 its reverse (21105864), we get a palindrome (489606984).

The spelling of 468501120 in words is "four hundred sixty-eight million, five hundred one thousand, one hundred twenty".