457829139 has 16 divisors (see below), whose sum is σ = 617248512. Its totient is φ = 301825248.

The previous prime is 457829107. The next prime is 457829147. The reversal of 457829139 is 931928754.

457829139 = 296² + 297² + ... + 1118².

It is not a de Polignac number, because 457829139 - 2⁵ = 457829107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (457829189) 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, 263317 + ... + 265049.

It is an arithmetic number, because the mean of its divisors is an integer number (38578032).

Almost surely, 2^457829139 is an apocalyptic number.

457829139 is a deficient number, since it is larger than the sum of its proper divisors (159419373).

457829139 is a wasteful number, since it uses less digits than its factorization.

457829139 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666.

The product of its digits is 544320, while the sum is 48.

The square root of 457829139 is about 21396.9422815504. The cubic root of 457829139 is about 770.7280116444.

The spelling of 457829139 in words is "four hundred fifty-seven million, eight hundred twenty-nine thousand, one hundred thirty-nine".