457149072384 has 99 divisors (see below), whose sum is σ = 1320195473623. Its totient is φ = 152361388032.

The previous prime is 457149072379. The next prime is 457149072397. The reversal of 457149072384 is 483270941754.

The square root of 457149072384 is 676128.

It is a perfect power (a square), and thus also a powerful number.

457149072384 is a `hidden beast` number, since 4 + 5 + 7 + 1 + 490 + 72 + 3 + 84 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 457149072384.

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 8 ways as a sum of consecutive naturals, for example, 64904767 + ... + 64911809.

Almost surely, 2^457149072384 is an apocalyptic number.

457149072384 is the 676128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457149072384

457149072384 is an abundant number, since it is smaller than the sum of its proper divisors (863046401239).

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

457149072384 is an frugal number, since it uses more digits than its factorization.

457149072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 457149072384 in words is "four hundred fifty-seven billion, one hundred forty-nine million, seventy-two thousand, three hundred eighty-four".