457712133 has 16 divisors (see below), whose sum is σ = 633420480. Its totient is φ = 293642496.

The previous prime is 457712119. The next prime is 457712149. The reversal of 457712133 is 331217754.

It is not a de Polignac number, because 457712133 - 2¹² = 457708037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 457712094 and 457712103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457712153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18141 + ... + 35277.

It is an arithmetic number, because the mean of its divisors is an integer number (39588780).

Almost surely, 2^457712133 is an apocalyptic number.

It is an amenable number.

457712133 is a deficient number, since it is larger than the sum of its proper divisors (175708347).

457712133 is a wasteful number, since it uses less digits than its factorization.

457712133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17476.

The product of its digits is 17640, while the sum is 33.

The square root of 457712133 is about 21394.2079311200. The cubic root of 457712133 is about 770.6623485127.

Adding to 457712133 its reverse (331217754), we get a palindrome (788929887).

The spelling of 457712133 in words is "four hundred fifty-seven million, seven hundred twelve thousand, one hundred thirty-three".