457829439 has 16 divisors (see below), whose sum is σ = 627782400. Its totient is φ = 296664896.

The previous prime is 457829429. The next prime is 457829441. The reversal of 457829439 is 934928754.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457829439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 457829391 and 457829400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457829419) 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, 1222 + ... + 30284.

It is an arithmetic number, because the mean of its divisors is an integer number (39236400).

Almost surely, 2^457829439 is an apocalyptic number.

457829439 is a deficient number, since it is larger than the sum of its proper divisors (169952961).

457829439 is a wasteful number, since it uses less digits than its factorization.

457829439 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29214.

The product of its digits is 2177280, while the sum is 51.

The square root of 457829439 is about 21396.9492918967. The cubic root of 457829439 is about 770.7281799884.

The spelling of 457829439 in words is "four hundred fifty-seven million, eight hundred twenty-nine thousand, four hundred thirty-nine".