457506445 has 24 divisors (see below), whose sum is σ = 604887192. Its totient is φ = 331943040.

The previous prime is 457506433. The next prime is 457506449. The reversal of 457506445 is 544605754.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65901924 + 391604521 = 8118^2 + 19789^2 .

It is not a de Polignac number, because 457506445 - 2⁹ = 457505933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 457506398 and 457506407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457506449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409027 + ... + 410143.

It is an arithmetic number, because the mean of its divisors is an integer number (25203633).

Almost surely, 2^457506445 is an apocalyptic number.

It is an amenable number.

457506445 is a deficient number, since it is larger than the sum of its proper divisors (147380747).

457506445 is a wasteful number, since it uses less digits than its factorization.

457506445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 40.

The square root of 457506445 is about 21389.4002954735. The cubic root of 457506445 is about 770.5468903922.

The spelling of 457506445 in words is "four hundred fifty-seven million, five hundred six thousand, four hundred forty-five".