213441440 has 96 divisors (see below), whose sum is σ = 539965440. Its totient is φ = 79488000.

The previous prime is 213441439. The next prime is 213441451. The reversal of 213441440 is 44144312.

It is a happy number.

213441440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 184865 + ... + 186015.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^213441440 is an apocalyptic number.

213441440 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 213441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

213441440 is an abundant number, since it is smaller than the sum of its proper divisors (326524000).

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

213441440 is a wasteful number, since it uses less digits than its factorization.

213441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 213441440 is about 14609.6351768277. The cubic root of 213441440 is about 597.6215470237.

Adding to 213441440 its reverse (44144312), we get a palindrome (257585752).

The spelling of 213441440 in words is "two hundred thirteen million, four hundred forty-one thousand, four hundred forty".