214444608 has 112 divisors (see below), whose sum is σ = 669487104. Its totient is φ = 59281920.

The previous prime is 214444603. The next prime is 214444667. The reversal of 214444608 is 806444412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (214444603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39091 + ... + 44237.

Almost surely, 2^214444608 is an apocalyptic number.

214444608 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 214444608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334743552).

214444608 is an abundant number, since it is smaller than the sum of its proper divisors (455042496).

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

214444608 is a wasteful number, since it uses less digits than its factorization.

214444608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 214444608 is about 14643.9273420760. The cubic root of 214444608 is about 598.5563514730.

The spelling of 214444608 in words is "two hundred fourteen million, four hundred forty-four thousand, six hundred eight".