457728453 has 36 divisors (see below), whose sum is σ = 828280908. Its totient is φ = 241436160.

The previous prime is 457728433. The next prime is 457728473. The reversal of 457728453 is 354827754.

457728453 is a `hidden beast` number, since 4 + 577 + 28 + 4 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (457728433) and next prime (457728473).

It can be written as a sum of positive squares in 2 ways, for example, as 188046369 + 269682084 = 13713^2 + 16422^2 .

It is not a de Polignac number, because 457728453 - 2¹⁶ = 457662917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 457728399 and 457728408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457728413) 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 35 ways as a sum of consecutive naturals, for example, 34188 + ... + 45653.

It is an arithmetic number, because the mean of its divisors is an integer number (23007803).

Almost surely, 2^457728453 is an apocalyptic number.

It is an amenable number.

457728453 is a deficient number, since it is larger than the sum of its proper divisors (370552455).

457728453 is a wasteful number, since it uses less digits than its factorization.

457728453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79874 (or 79864 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 457728453 is about 21394.5893393634. The cubic root of 457728453 is about 770.6715078796.

The spelling of 457728453 in words is "four hundred fifty-seven million, seven hundred twenty-eight thousand, four hundred fifty-three".