214345472 has 72 divisors (see below), whose sum is σ = 471918720. Its totient is φ = 96353280.

The previous prime is 214345451. The next prime is 214345507. The reversal of 214345472 is 274543412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 289679 + ... + 290417.

Almost surely, 2^214345472 is an apocalyptic number.

214345472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235959360).

214345472 is an abundant number, since it is smaller than the sum of its proper divisors (257573248).

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

214345472 is a wasteful number, since it uses less digits than its factorization.

214345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its digits is 26880, while the sum is 32.

The square root of 214345472 is about 14640.5420664673. The cubic root of 214345472 is about 598.4641013433.

Adding to 214345472 its reverse (274543412), we get a palindrome (488888884).

The spelling of 214345472 in words is "two hundred fourteen million, three hundred forty-five thousand, four hundred seventy-two".