429957975 has 36 divisors (see below), whose sum is σ = 743183336. Its totient is φ = 219320640.

The previous prime is 429957959. The next prime is 429957991. The reversal of 429957975 is 579759924.

It is an interprime number because it is at equal distance from previous prime (429957959) and next prime (429957991).

It is not a de Polignac number, because 429957975 - 2⁴ = 429957959 is a prime.

It is a super-2 number, since 2×429957975² = 369727720532201250, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34257 + ... + 45093.

Almost surely, 2^429957975 is an apocalyptic number.

429957975 is a deficient number, since it is larger than the sum of its proper divisors (313225361).

429957975 is a wasteful number, since it uses less digits than its factorization.

429957975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10896 (or 10868 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 57.

The square root of 429957975 is about 20735.4280158380. The cubic root of 429957975 is about 754.7596416297.

The spelling of 429957975 in words is "four hundred twenty-nine million, nine hundred fifty-seven thousand, nine hundred seventy-five".