214004448 has 288 divisors, whose sum is σ = 756887040. Its totient is φ = 55987200.

The previous prime is 214004447. The next prime is 214004471. The reversal of 214004448 is 844400412.

It is a happy number.

214004448 is a `hidden beast` number, since 214 + 0 + 0 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214004447) 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, 1417173 + ... + 1417323.

It is an arithmetic number, because the mean of its divisors is an integer number (2628080).

Almost surely, 2^214004448 is an apocalyptic number.

214004448 is a gapful number since it is divisible by the number (28) 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 214004448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378443520).

214004448 is an abundant number, since it is smaller than the sum of its proper divisors (542882592).

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

214004448 is a wasteful number, since it uses less digits than its factorization.

214004448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 214004448 is about 14628.8908670480. The cubic root of 214004448 is about 598.1465470826.

The spelling of 214004448 in words is "two hundred fourteen million, four thousand, four hundred forty-eight".