468992192 has 56 divisors (see below), whose sum is σ = 990331776. Its totient is φ = 219598848.

The previous prime is 468992191. The next prime is 468992197. The reversal of 468992192 is 291299864.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 468992192.

It is not an unprimeable number, because it can be changed into a prime (468992191) 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, 241658 + ... + 243590.

It is an arithmetic number, because the mean of its divisors is an integer number (17684496).

Almost surely, 2^468992192 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 468992192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495165888).

468992192 is an abundant number, since it is smaller than the sum of its proper divisors (521339584).

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

468992192 is a wasteful number, since it uses less digits than its factorization.

468992192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2175 counting only the distinct ones).

The product of its digits is 559872, while the sum is 50.

The square root of 468992192 is about 21656.2275569869. The cubic root of 468992192 is about 776.9418895613.

The spelling of 468992192 in words is "four hundred sixty-eight million, nine hundred ninety-two thousand, one hundred ninety-two".