213430440 has 64 divisors (see below), whose sum is σ = 645226560. Its totient is φ = 56476160.

The previous prime is 213430411. The next prime is 213430447. The reversal of 213430440 is 44034312.

It is not an unprimeable number, because it can be changed into a prime (213430447) 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, 8932 + ... + 22508.

It is an arithmetic number, because the mean of its divisors is an integer number (10081665).

Almost surely, 2^213430440 is an apocalyptic number.

213430440 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 213430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322613280).

213430440 is an abundant number, since it is smaller than the sum of its proper divisors (431796120).

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

213430440 is a wasteful number, since it uses less digits than its factorization.

213430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13722 (or 13718 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 213430440 is about 14609.2587080933. The cubic root of 213430440 is about 597.6112804295.

Adding to 213430440 its reverse (44034312), we get a palindrome (257464752).

The spelling of 213430440 in words is "two hundred thirteen million, four hundred thirty thousand, four hundred forty".