429953945 has 32 divisors (see below), whose sum is σ = 559872000. Its totient is φ = 315956160.

The previous prime is 429953939. The next prime is 429953977. The reversal of 429953945 is 549359924.

It is a happy number.

It is not a de Polignac number, because 429953945 - 2¹⁴ = 429937561 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 429953893 and 429953902.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 442310 + ... + 443280.

It is an arithmetic number, because the mean of its divisors is an integer number (17496000).

Almost surely, 2^429953945 is an apocalyptic number.

It is an amenable number.

429953945 is a deficient number, since it is larger than the sum of its proper divisors (129918055).

429953945 is a wasteful number, since it uses less digits than its factorization.

429953945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133.

The product of its digits is 1749600, while the sum is 50.

The square root of 429953945 is about 20735.3308389329. The cubic root of 429953945 is about 754.7572834994.

The spelling of 429953945 in words is "four hundred twenty-nine million, nine hundred fifty-three thousand, nine hundred forty-five".