457164141 has 16 divisors (see below), whose sum is σ = 696994944. Its totient is φ = 261100224.

The previous prime is 457164139. The next prime is 457164163. The reversal of 457164141 is 141461754.

It is not a de Polignac number, because 457164141 - 2¹ = 457164139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457164131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46711 + ... + 55643.

It is an arithmetic number, because the mean of its divisors is an integer number (43562184).

Almost surely, 2^457164141 is an apocalyptic number.

It is an amenable number.

457164141 is a deficient number, since it is larger than the sum of its proper divisors (239830803).

457164141 is a wasteful number, since it uses less digits than its factorization.

457164141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11380.

The product of its digits is 13440, while the sum is 33.

The square root of 457164141 is about 21381.3970778338. The cubic root of 457164141 is about 770.3546693538.

The spelling of 457164141 in words is "four hundred fifty-seven million, one hundred sixty-four thousand, one hundred forty-one".