468426192 has 160 divisors (see below), whose sum is σ = 1347413760. Its totient is φ = 139345920.

The previous prime is 468426191. The next prime is 468426199. The reversal of 468426192 is 291624864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468426191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4297434 + ... + 4297542.

It is an arithmetic number, because the mean of its divisors is an integer number (8421336).

Almost surely, 2^468426192 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 468426192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673706880).

468426192 is an abundant number, since it is smaller than the sum of its proper divisors (878987568).

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

468426192 is a wasteful number, since it uses less digits than its factorization.

468426192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 468426192 is about 21643.1557772890. The cubic root of 468426192 is about 776.6292147532.

It can be divided in two parts, 4684 and 26192, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 468426192 in words is "four hundred sixty-eight million, four hundred twenty-six thousand, one hundred ninety-two".