213912400 has 120 divisors (see below), whose sum is σ = 571741184. Its totient is φ = 76377600.

The previous prime is 213912379. The next prime is 213912403. The reversal of 213912400 is 4219312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213912403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160537 + ... + 161863.

Almost surely, 2^213912400 is an apocalyptic number.

213912400 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 213912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285870592).

213912400 is an abundant number, since it is smaller than the sum of its proper divisors (357828784).

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

213912400 is a wasteful number, since it uses less digits than its factorization.

213912400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 213912400 is about 14625.7444254985. The cubic root of 213912400 is about 598.0607761408.

The spelling of 213912400 in words is "two hundred thirteen million, nine hundred twelve thousand, four hundred".