456168948 has 48 divisors (see below), whose sum is σ = 1123584000. Its totient is φ = 143646048.

The previous prime is 456168931. The next prime is 456168961. The reversal of 456168948 is 849861654.

It is a self number, because there is not a number n which added to its sum of digits gives 456168948.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83773 + ... + 89051.

It is an arithmetic number, because the mean of its divisors is an integer number (23408000).

Almost surely, 2^456168948 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 456168948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561792000).

456168948 is an abundant number, since it is smaller than the sum of its proper divisors (667415052).

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

456168948 is a wasteful number, since it uses less digits than its factorization.

456168948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684 (or 5682 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 456168948 is about 21358.1119952116. Note that the first 3 decimals coincide. The cubic root of 456168948 is about 769.7952724961.

The spelling of 456168948 in words is "four hundred fifty-six million, one hundred sixty-eight thousand, nine hundred forty-eight".