201429468 has 72 divisors (see below), whose sum is σ = 522417168. Its totient is φ = 65415168.

The previous prime is 201429461. The next prime is 201429491. The reversal of 201429468 is 864924102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201429461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367971 + ... + 368517.

It is an arithmetic number, because the mean of its divisors is an integer number (7255794).

Almost surely, 2^201429468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201429468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261208584).

201429468 is an abundant number, since it is smaller than the sum of its proper divisors (320987700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201429468 is a wasteful number, since it uses less digits than its factorization.

201429468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 201429468 is about 14192.5849653965. The cubic root of 201429468 is about 586.1935046478.

The spelling of 201429468 in words is "two hundred one million, four hundred twenty-nine thousand, four hundred sixty-eight".