213440464 has 40 divisors (see below), whose sum is σ = 434871720. Its totient is φ = 101337600.

The previous prime is 213440459. The next prime is 213440467. The reversal of 213440464 is 464044312.

It can be written as a sum of positive squares in 4 ways, for example, as 2958400 + 210482064 = 1720^2 + 14508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213440467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24534 + ... + 32074.

It is an arithmetic number, because the mean of its divisors is an integer number (10871793).

Almost surely, 2^213440464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213440464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217435860).

213440464 is an abundant number, since it is smaller than the sum of its proper divisors (221431256).

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

213440464 is a wasteful number, since it uses less digits than its factorization.

213440464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 213440464 is about 14609.6017741758. The cubic root of 213440464 is about 597.6206361111.

Adding to 213440464 its reverse (464044312), we get a palindrome (677484776).

The spelling of 213440464 in words is "two hundred thirteen million, four hundred forty thousand, four hundred sixty-four".