429401441 has 16 divisors (see below), whose sum is σ = 496742400. Its totient is φ = 363588048.

The previous prime is 429401431. The next prime is 429401449. The reversal of 429401441 is 144104924.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-429401441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (429401449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215990 + ... + 217968.

It is an arithmetic number, because the mean of its divisors is an integer number (31046400).

Almost surely, 2^429401441 is an apocalyptic number.

It is an amenable number.

429401441 is a deficient number, since it is larger than the sum of its proper divisors (67340959).

429401441 is a wasteful number, since it uses less digits than its factorization.

429401441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348.

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 429401441 is about 20722.0037882440. The cubic root of 429401441 is about 754.4338495032.

The spelling of 429401441 in words is "four hundred twenty-nine million, four hundred one thousand, four hundred forty-one".