468429192 has 192 divisors, whose sum is σ = 1665331200. Its totient is φ = 115240320.

The previous prime is 468429179. The next prime is 468429197. The reversal of 468429192 is 291924864.

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

It is not an unprimeable number, because it can be changed into a prime (468429197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103113 + ... + 107559.

It is an arithmetic number, because the mean of its divisors is an integer number (8673600).

Almost surely, 2^468429192 is an apocalyptic number.

468429192 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 468429192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832665600).

468429192 is an abundant number, since it is smaller than the sum of its proper divisors (1196902008).

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

468429192 is a wasteful number, since it uses less digits than its factorization.

468429192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4489 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 468429192 is about 21643.2250831525. The cubic root of 468429192 is about 776.6308727039.

The spelling of 468429192 in words is "four hundred sixty-eight million, four hundred twenty-nine thousand, one hundred ninety-two".