213411440 has 80 divisors (see below), whose sum is σ = 558821376. Its totient is φ = 75091200.

The previous prime is 213411433. The next prime is 213411463. The reversal of 213411440 is 44114312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 23369 + ... + 31191.

Almost surely, 2^213411440 is an apocalyptic number.

213411440 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 213411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279410688).

213411440 is an abundant number, since it is smaller than the sum of its proper divisors (345409936).

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

213411440 is a wasteful number, since it uses less digits than its factorization.

213411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 213411440 is about 14608.6084210646. The cubic root of 213411440 is about 597.5935463904.

Adding to 213411440 its reverse (44114312), we get a palindrome (257525752).

The spelling of 213411440 in words is "two hundred thirteen million, four hundred eleven thousand, four hundred forty".