468148352 has 64 divisors (see below), whose sum is σ = 1087728000. Its totient is φ = 200616192.

The previous prime is 468148339. The next prime is 468148357. The reversal of 468148352 is 253841864.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (468148357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38573 + ... + 49235.

It is an arithmetic number, because the mean of its divisors is an integer number (16995750).

Almost surely, 2^468148352 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 468148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543864000).

468148352 is an abundant number, since it is smaller than the sum of its proper divisors (619579648).

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

468148352 is an equidigital number, since it uses as much as digits as its factorization.

468148352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10698 (or 10672 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 468148352 is about 21636.7361679159. The cubic root of 468148352 is about 776.4756357114.

The spelling of 468148352 in words is "four hundred sixty-eight million, one hundred forty-eight thousand, three hundred fifty-two".