429101361 has 32 divisors (see below), whose sum is σ = 686125440. Its totient is φ = 263476800.

The previous prime is 429101359. The next prime is 429101419. The reversal of 429101361 is 163101924.

It is not a de Polignac number, because 429101361 - 2¹ = 429101359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (429101311) by changing a digit.

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, 199351 + ... + 201491.

It is an arithmetic number, because the mean of its divisors is an integer number (21441420).

Almost surely, 2^429101361 is an apocalyptic number.

It is an amenable number.

429101361 is a deficient number, since it is larger than the sum of its proper divisors (257024079).

429101361 is a wasteful number, since it uses less digits than its factorization.

429101361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 429101361 is about 20714.7619102900. The cubic root of 429101361 is about 754.2580673991.

The spelling of 429101361 in words is "four hundred twenty-nine million, one hundred one thousand, three hundred sixty-one".