214448640 has 160 divisors (see below), whose sum is σ = 783699840. Its totient is φ = 49004544.

The previous prime is 214448629. The next prime is 214448699. The reversal of 214448640 is 46844412.

214448640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×214448640³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51766 + ... + 55754.

It is an arithmetic number, because the mean of its divisors is an integer number (4898124).

Almost surely, 2^214448640 is an apocalyptic number.

214448640 is a gapful number since it is divisible by the number (20) 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 214448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391849920).

214448640 is an abundant number, since it is smaller than the sum of its proper divisors (569251200).

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

214448640 is an equidigital number, since it uses as much as digits as its factorization.

214448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4006 counting only the distinct ones).

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

The square root of 214448640 is about 14644.0650094159. The cubic root of 214448640 is about 598.5601028132.

The spelling of 214448640 in words is "two hundred fourteen million, four hundred forty-eight thousand, six hundred forty".