213424240 has 80 divisors (see below), whose sum is σ = 510681600. Its totient is φ = 82918656.

The previous prime is 213424231. The next prime is 213424241. The reversal of 213424240 is 42424312.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213424241) 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, 485941 + ... + 486379.

It is an arithmetic number, because the mean of its divisors is an integer number (6383520).

Almost surely, 2^213424240 is an apocalyptic number.

213424240 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 213424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255340800).

213424240 is an abundant number, since it is smaller than the sum of its proper divisors (297257360).

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

213424240 is a wasteful number, since it uses less digits than its factorization.

213424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 213424240 is about 14609.0465123498. The cubic root of 213424240 is about 597.6054936482.

Adding to 213424240 its reverse (42424312), we get a palindrome (255848552).

The spelling of 213424240 in words is "two hundred thirteen million, four hundred twenty-four thousand, two hundred forty".