457504047 has 96 divisors (see below), whose sum is σ = 908683776. Its totient is φ = 214099200.

The previous prime is 457504039. The next prime is 457504111. The reversal of 457504047 is 740405754.

457504047 is a `hidden beast` number, since 4 + 575 + 0 + 40 + 47 = 666.

It is not a de Polignac number, because 457504047 - 2³ = 457504039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457504027) 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 95 ways as a sum of consecutive naturals, for example, 386797 + ... + 387977.

It is an arithmetic number, because the mean of its divisors is an integer number (9465456).

Almost surely, 2^457504047 is an apocalyptic number.

457504047 is a deficient number, since it is larger than the sum of its proper divisors (451179729).

457504047 is a wasteful number, since it uses less digits than its factorization.

457504047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 457504047 is about 21389.3442395974. The cubic root of 457504047 is about 770.5455441273.

The spelling of 457504047 in words is "four hundred fifty-seven million, five hundred four thousand, forty-seven".