457468144 has 80 divisors (see below), whose sum is σ = 1035648000. Its totient is φ = 191722752.

The previous prime is 457468117. The next prime is 457468157. The reversal of 457468144 is 441864754.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 457468144.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1318179 + ... + 1318525.

It is an arithmetic number, because the mean of its divisors is an integer number (12945600).

Almost surely, 2^457468144 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 457468144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517824000).

457468144 is an abundant number, since it is smaller than the sum of its proper divisors (578179856).

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

457468144 is a wasteful number, since it uses less digits than its factorization.

457468144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its digits is 430080, while the sum is 43.

The square root of 457468144 is about 21388.5049500894. The cubic root of 457468144 is about 770.5253872051.

The spelling of 457468144 in words is "four hundred fifty-seven million, four hundred sixty-eight thousand, one hundred forty-four".