214204416 has 64 divisors (see below), whose sum is σ = 571465200. Its totient is φ = 71368704.

The previous prime is 214204409. The next prime is 214204447. The reversal of 214204416 is 614402412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97215 + ... + 99393.

Almost surely, 2^214204416 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 214204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285732600).

214204416 is an abundant number, since it is smaller than the sum of its proper divisors (357260784).

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

214204416 is an frugal number, since it uses more digits than its factorization.

214204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2184 counting only the distinct ones).

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

The square root of 214204416 is about 14635.7239656944. The cubic root of 214204416 is about 598.3327938860.

Adding to 214204416 its reverse (614402412), we get a palindrome (828606828).

The spelling of 214204416 in words is "two hundred fourteen million, two hundred four thousand, four hundred sixteen".