213430400 has 48 divisors (see below), whose sum is σ = 527247690. Its totient is φ = 85370880.

The previous prime is 213430387. The next prime is 213430411. The reversal of 213430400 is 4034312.

It can be written as a sum of positive squares in 3 ways, for example, as 84198976 + 129231424 = 9176^2 + 11368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30149 + ... + 36548.

Almost surely, 2^213430400 is an apocalyptic number.

213430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213430400 is an abundant number, since it is smaller than the sum of its proper divisors (313817290).

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

213430400 is an equidigital number, since it uses as much as digits as its factorization.

213430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66721 (or 66704 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 213430400 is about 14609.2573390984. The cubic root of 213430400 is about 597.6112430958.

Adding to 213430400 its reverse (4034312), we get a palindrome (217464712).

The spelling of 213430400 in words is "two hundred thirteen million, four hundred thirty thousand, four hundred".