468786192 has 80 divisors (see below), whose sum is σ = 1391399040. Its totient is φ = 133226496.

The previous prime is 468786181. The next prime is 468786193. The reversal of 468786192 is 291687864.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (468786193) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 61234 + ... + 68462.

It is an arithmetic number, because the mean of its divisors is an integer number (17392488).

Almost surely, 2^468786192 is an apocalyptic number.

468786192 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 468786192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695699520).

468786192 is an abundant number, since it is smaller than the sum of its proper divisors (922612848).

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

468786192 is a wasteful number, since it uses less digits than its factorization.

468786192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440 (or 7434 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 468786192 is about 21651.4708969160. The cubic root of 468786192 is about 776.8281183222.

The spelling of 468786192 in words is "four hundred sixty-eight million, seven hundred eighty-six thousand, one hundred ninety-two".