213413400 has 96 divisors (see below), whose sum is σ = 735109200. Its totient is φ = 56908800.

The previous prime is 213413363. The next prime is 213413401. The reversal of 213413400 is 4314312.

213413400 is a `hidden beast` number, since 213 + 413 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213413401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14361 + ... + 25160.

Almost surely, 2^213413400 is an apocalyptic number.

213413400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213413400 is an abundant number, since it is smaller than the sum of its proper divisors (521695800).

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

213413400 is a wasteful number, since it uses less digits than its factorization.

213413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39546 (or 39531 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213413400 is about 14608.6755046445. The cubic root of 213413400 is about 597.5953758453.

Adding to 213413400 its reverse (4314312), we get a palindrome (217727712).

The spelling of 213413400 in words is "two hundred thirteen million, four hundred thirteen thousand, four hundred".