457029 has 8 divisors (see below), whose sum is σ = 677120. Its totient is φ = 304668.

The previous prime is 457021. The next prime is 457043. The reversal of 457029 is 920754.

It is not a de Polignac number, because 457029 - 2³ = 457021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 16927 = 457029 / (4 + 5 + 7 + 0 + 2 + 9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456993 and 457011.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457029.

It is not an unprimeable number, because it can be changed into a prime (457021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8437 + ... + 8490.

It is an arithmetic number, because the mean of its divisors is an integer number (84640).

2⁴⁵⁷⁰²⁹ is an apocalyptic number.

It is an amenable number.

457029 is a deficient number, since it is larger than the sum of its proper divisors (220091).

457029 is a wasteful number, since it uses less digits than its factorization.

457029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16936 (or 16930 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 457029 is about 676.0392000469. The cubic root of 457029 is about 77.0278754417.

The spelling of 457029 in words is "four hundred fifty-seven thousand, twenty-nine".