214484172 has 144 divisors (see below), whose sum is σ = 632016000. Its totient is φ = 56222208.

The previous prime is 214484167. The next prime is 214484173. The reversal of 214484172 is 271484412.

It is not an unprimeable number, because it can be changed into a prime (214484173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429579 + ... + 430077.

It is an arithmetic number, because the mean of its divisors is an integer number (4389000).

Almost surely, 2^214484172 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 214484172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316008000).

214484172 is an abundant number, since it is smaller than the sum of its proper divisors (417531828).

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

214484172 is a wasteful number, since it uses less digits than its factorization.

214484172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 571 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 214484172 is about 14645.2781468977. The cubic root of 214484172 is about 598.5931594666.

The spelling of 214484172 in words is "two hundred fourteen million, four hundred eighty-four thousand, one hundred seventy-two".