429456041 has 12 divisors (see below), whose sum is σ = 516799620. Its totient is φ = 355410720.

The previous prime is 429456037. The next prime is 429456059. The reversal of 429456041 is 140654924.

It can be written as a sum of positive squares in 2 ways, for example, as 232867600 + 196588441 = 15260^2 + 14021^2 .

It is not a de Polignac number, because 429456041 - 2² = 429456037 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 429455992 and 429456010.

It is not an unprimeable number, because it can be changed into a prime (429456241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149690 + ... + 152531.

It is an arithmetic number, because the mean of its divisors is an integer number (43066635).

Almost surely, 2^429456041 is an apocalyptic number.

It is an amenable number.

429456041 is a deficient number, since it is larger than the sum of its proper divisors (87343579).

429456041 is a wasteful number, since it uses less digits than its factorization.

429456041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302264 (or 302257 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 429456041 is about 20723.3211865280. The cubic root of 429456041 is about 754.4658245103.

The spelling of 429456041 in words is "four hundred twenty-nine million, four hundred fifty-six thousand, forty-one".