211042432 has 64 divisors (see below), whose sum is σ = 432561600. Its totient is φ = 102528000.

The previous prime is 211042427. The next prime is 211042453. The reversal of 211042432 is 234240112.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1178919 + ... + 1179097.

It is an arithmetic number, because the mean of its divisors is an integer number (6758775).

Almost surely, 2^211042432 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 211042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216280800).

211042432 is an abundant number, since it is smaller than the sum of its proper divisors (221519168).

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

211042432 is a wasteful number, since it uses less digits than its factorization.

211042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 211042432 is about 14527.2995425853. The cubic root of 211042432 is about 595.3740857797.

Adding to 211042432 its reverse (234240112), we get a palindrome (445282544).

The spelling of 211042432 in words is "two hundred eleven million, forty-two thousand, four hundred thirty-two".