214262412 has 96 divisors (see below), whose sum is σ = 632067072. Its totient is φ = 54971136.

The previous prime is 214262393. The next prime is 214262417.

It is a happy number.

214262412 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (214262417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37753 + ... + 43055.

It is an arithmetic number, because the mean of its divisors is an integer number (6584032).

Almost surely, 2^214262412 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 214262412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316033536).

214262412 is an abundant number, since it is smaller than the sum of its proper divisors (417804660).

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

214262412 is a wasteful number, since it uses less digits than its factorization.

214262412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5365 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 214262412 is about 14637.7051480073. The cubic root of 214262412 is about 598.3867886917.

The spelling of 214262412 in words is "two hundred fourteen million, two hundred sixty-two thousand, four hundred twelve".