457438464 has 216 divisors, whose sum is σ = 1526720832. Its totient is φ = 129024000.

The previous prime is 457438463. The next prime is 457438483. The reversal of 457438464 is 464834754.

457438464 is a `hidden beast` number, since 4 + 574 + 38 + 46 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457438463) 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 23 ways as a sum of consecutive naturals, for example, 1822339 + ... + 1822589.

It is an arithmetic number, because the mean of its divisors is an integer number (7068152).

Almost surely, 2^457438464 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 457438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763360416).

457438464 is an abundant number, since it is smaller than the sum of its proper divisors (1069282368).

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

457438464 is a wasteful number, since it uses less digits than its factorization.

457438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 457438464 is about 21387.8111081990. The cubic root of 457438464 is about 770.5087232484.

The spelling of 457438464 in words is "four hundred fifty-seven million, four hundred thirty-eight thousand, four hundred sixty-four".