429376257 has 12 divisors (see below), whose sum is σ = 640217344. Its totient is φ = 277016760.

The previous prime is 429376249. The next prime is 429376279. The reversal of 429376257 is 752673924.

429376257 is a `hidden beast` number, since 4 + 29 + 376 + 257 = 666.

It is not a de Polignac number, because 429376257 - 2³ = 429376249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (429376237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 769213 + ... + 769770.

Almost surely, 2^429376257 is an apocalyptic number.

It is an amenable number.

429376257 is a deficient number, since it is larger than the sum of its proper divisors (210841087).

429376257 is a wasteful number, since it uses less digits than its factorization.

429376257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539020 (or 1539017 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 429376257 is about 20721.3961160922. The cubic root of 429376257 is about 754.4191002642.

It can be divided in two parts, 42937 and 6257, that added together give a palindrome (49194).

The spelling of 429376257 in words is "four hundred twenty-nine million, three hundred seventy-six thousand, two hundred fifty-seven".