468141912 has 288 divisors, whose sum is σ = 1597639680. Its totient is φ = 121150080.

The previous prime is 468141887. The next prime is 468141923. The reversal of 468141912 is 219141864.

468141912 is a `hidden beast` number, since 468 + 1 + 4 + 191 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5640223 + ... + 5640305.

It is an arithmetic number, because the mean of its divisors is an integer number (5547360).

Almost surely, 2^468141912 is an apocalyptic number.

468141912 is a gapful number since it is divisible by the number (42) 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 468141912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

468141912 is an abundant number, since it is smaller than the sum of its proper divisors (1129497768).

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

468141912 is a wasteful number, since it uses less digits than its factorization.

468141912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 468141912 is about 21636.5873464371. The cubic root of 468141912 is about 776.4720752119.

The spelling of 468141912 in words is "four hundred sixty-eight million, one hundred forty-one thousand, nine hundred twelve".