214944384 has 64 divisors (see below), whose sum is σ = 595794240. Its totient is φ = 68530176.

The previous prime is 214944371. The next prime is 214944439. The reversal of 214944384 is 483449412.

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

It is a super-3 number, since 3×214944384³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3337 + ... + 21000.

It is an arithmetic number, because the mean of its divisors is an integer number (9309285).

Almost surely, 2^214944384 is an apocalyptic number.

214944384 is a gapful number since it is divisible by the number (24) 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 214944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297897120).

214944384 is an abundant number, since it is smaller than the sum of its proper divisors (380849856).

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

214944384 is a wasteful number, since it uses less digits than its factorization.

214944384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24377 (or 24365 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 214944384 is about 14660.9816860946. The cubic root of 214944384 is about 599.0209811836.

It can be divided in two parts, 21494 and 4384, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 214944384 in words is "two hundred fourteen million, nine hundred forty-four thousand, three hundred eighty-four".