214204032 has 192 divisors, whose sum is σ = 714130560. Its totient is φ = 60364800.

The previous prime is 214204009. The next prime is 214204057. The reversal of 214204032 is 230402412.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×214204032⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214203996 and 214204014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814333 + ... + 814595.

It is an arithmetic number, because the mean of its divisors is an integer number (3719430).

Almost surely, 2^214204032 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 214204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357065280).

214204032 is an abundant number, since it is smaller than the sum of its proper divisors (499926528).

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

214204032 is a wasteful number, since it uses less digits than its factorization.

214204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214204032 is about 14635.7108471027. The cubic root of 214204032 is about 598.3324363461.

Adding to 214204032 its reverse (230402412), we get a palindrome (444606444).

It can be divided in two parts, 21420 and 4032, that added together give a palindrome (25452).

The spelling of 214204032 in words is "two hundred fourteen million, two hundred four thousand, thirty-two".