468396192 has 96 divisors (see below), whose sum is σ = 1366787520. Its totient is φ = 139243520.

The previous prime is 468396169. The next prime is 468396199. The reversal of 468396192 is 291693864.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (468396199) 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, 51784 + ... + 60152.

It is an arithmetic number, because the mean of its divisors is an integer number (14237370).

Almost surely, 2^468396192 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 468396192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683393760).

468396192 is an abundant number, since it is smaller than the sum of its proper divisors (898391328).

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

468396192 is a wasteful number, since it uses less digits than its factorization.

468396192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8446 (or 8438 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 468396192 is about 21642.4627064482. The cubic root of 468396192 is about 776.6126348563.

The spelling of 468396192 in words is "four hundred sixty-eight million, three hundred ninety-six thousand, one hundred ninety-two".