466320192 has 112 divisors (see below), whose sum is σ = 1398788160. Its totient is φ = 135917568.

The previous prime is 466320187. The next prime is 466320199. The reversal of 466320192 is 291023664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466320199) 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, 42508 + ... + 52340.

It is an arithmetic number, because the mean of its divisors is an integer number (12489180).

Almost surely, 2^466320192 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 466320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699394080).

466320192 is an abundant number, since it is smaller than the sum of its proper divisors (932467968).

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

466320192 is a wasteful number, since it uses less digits than its factorization.

466320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9880 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 466320192 is about 21594.4481753992. The cubic root of 466320192 is about 775.4635822341.

The spelling of 466320192 in words is "four hundred sixty-six million, three hundred twenty thousand, one hundred ninety-two".