457406073 has 12 divisors (see below), whose sum is σ = 667240548. Its totient is φ = 301917600.

The previous prime is 457406071. The next prime is 457406107. The reversal of 457406073 is 370604754.

457406073 is a `hidden beast` number, since 4 + 5 + 7 + 40 + 607 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 439866729 + 17539344 = 20973^2 + 4188^2 .

It is not a de Polignac number, because 457406073 - 2¹ = 457406071 is a prime.

It is a super-3 number, since 3×457406073³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (457406071) 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 11 ways as a sum of consecutive naturals, for example, 250690 + ... + 252507.

It is an arithmetic number, because the mean of its divisors is an integer number (55603379).

Almost surely, 2^457406073 is an apocalyptic number.

It is an amenable number.

457406073 is a deficient number, since it is larger than the sum of its proper divisors (209834475).

457406073 is a wasteful number, since it uses less digits than its factorization.

457406073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503304 (or 503301 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 457406073 is about 21387.0538644293. The cubic root of 457406073 is about 770.4905363671.

The spelling of 457406073 in words is "four hundred fifty-seven million, four hundred six thousand, seventy-three".