468819192 has 64 divisors (see below), whose sum is σ = 1206576000. Its totient is φ = 151735424.

The previous prime is 468819187. The next prime is 468819199. The reversal of 468819192 is 291918864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468819199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115534 + ... + 119522.

It is an arithmetic number, because the mean of its divisors is an integer number (18852750).

Almost surely, 2^468819192 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 468819192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288000).

468819192 is an abundant number, since it is smaller than the sum of its proper divisors (737756808).

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

468819192 is a wasteful number, since it uses less digits than its factorization.

468819192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4136 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 468819192 is about 21652.2329564412. The cubic root of 468819192 is about 776.8463460536.

The spelling of 468819192 in words is "four hundred sixty-eight million, eight hundred nineteen thousand, one hundred ninety-two".