457120675449 has 81 divisors (see below), whose sum is σ = 729837207151. Its totient is φ = 286236659520.

The previous prime is 457120675393. The next prime is 457120675519. The reversal of 457120675449 is 944576021754.

The square root of 457120675449 is 676107.

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

457120675449 is a `hidden beast` number, since 4 + 5 + 7 + 120 + 6 + 75 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 355889799225 + 101230876224 = 596565^2 + 318168^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a de Polignac number, because none of the positive numbers 2^k-457120675449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 457120675395 and 457120675404.

It is not an unprimeable number, because it can be changed into a prime (457120675549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 930999094 + ... + 930999584.

Almost surely, 2^457120675449 is an apocalyptic number.

457120675449 is the 676107-th square number.

457120675449 is the 338054-th centered octagonal number.

It is an amenable number.

457120675449 is a deficient number, since it is larger than the sum of its proper divisors (272716531702).

457120675449 is an frugal number, since it uses more digits than its factorization.

457120675449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 457120675449 in words is "four hundred fifty-seven billion, one hundred twenty million, six hundred seventy-five thousand, four hundred forty-nine".