429459957 has 24 divisors (see below), whose sum is σ = 641392128. Its totient is φ = 276616800.

The previous prime is 429459941. The next prime is 429460027. The reversal of 429459957 is 759954924.

429459957 is a `hidden beast` number, since 42 + 9 + 4 + 599 + 5 + 7 = 666.

It is not a de Polignac number, because 429459957 - 2⁴ = 429459941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429459917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286903 + ... + 288395.

It is an arithmetic number, because the mean of its divisors is an integer number (26724672).

Almost surely, 2^429459957 is an apocalyptic number.

It is an amenable number.

429459957 is a deficient number, since it is larger than the sum of its proper divisors (211932171).

429459957 is a wasteful number, since it uses less digits than its factorization.

429459957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2558 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 429459957 is about 20723.4156692375. The cubic root of 429459957 is about 754.4681177052.

The spelling of 429459957 in words is "four hundred twenty-nine million, four hundred fifty-nine thousand, nine hundred fifty-seven".