468336120 has 192 divisors, whose sum is σ = 1705950720. Its totient is φ = 102364416.

The previous prime is 468336103. The next prime is 468336133. The reversal of 468336120 is 21633864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133509 + ... + 136971.

It is an arithmetic number, because the mean of its divisors is an integer number (8885160).

Almost surely, 2^468336120 is an apocalyptic number.

468336120 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 468336120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852975360).

468336120 is an abundant number, since it is smaller than the sum of its proper divisors (1237614600).

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

468336120 is a wasteful number, since it uses less digits than its factorization.

468336120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 468336120 is about 21641.0748346749. The cubic root of 468336120 is about 776.5794331426.

Adding to 468336120 its reverse (21633864), we get a palindrome (489969984).

The spelling of 468336120 in words is "four hundred sixty-eight million, three hundred thirty-six thousand, one hundred twenty".