211482432 has 252 divisors, whose sum is σ = 722741760. Its totient is φ = 58931712.

The previous prime is 211482409. The next prime is 211482433. The reversal of 211482432 is 234284112.

211482432 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211482396 and 211482405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211482433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1665153 + ... + 1665279.

Almost surely, 2^211482432 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 211482432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361370880).

211482432 is an abundant number, since it is smaller than the sum of its proper divisors (511259328).

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

211482432 is a wasteful number, since it uses less digits than its factorization.

211482432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 211482432 is about 14542.4355594240. The cubic root of 211482432 is about 595.7875614808.

The spelling of 211482432 in words is "two hundred eleven million, four hundred eighty-two thousand, four hundred thirty-two".