214505412 has 72 divisors (see below), whose sum is σ = 556186848. Its totient is φ = 64289280.

The previous prime is 214505407. The next prime is 214505471.

214505412 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140083 + ... + 141605.

Almost surely, 2^214505412 is an apocalyptic number.

214505412 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 214505412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278093424).

214505412 is an abundant number, since it is smaller than the sum of its proper divisors (341681436).

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

214505412 is a wasteful number, since it uses less digits than its factorization.

214505412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 214505412 is about 14646.0032773450. The cubic root of 214505412 is about 598.6129180326.

It can be divided in two parts, 21450 and 5412, that added together give a palindrome (26862).

The spelling of 214505412 in words is "two hundred fourteen million, five hundred five thousand, four hundred twelve".