213863400 has 288 divisors, whose sum is σ = 789960600. Its totient is φ = 51609600.

The previous prime is 213863399. The next prime is 213863401. The reversal of 213863400 is 4368312.

It is a happy number.

213863400 is a `hidden beast` number, since 21 + 3 + 8 + 634 + 0 + 0 = 666.

213863400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213863399) and next prime (213863401).

It can be written as a sum of positive squares in 12 ways, for example, as 57062916 + 156800484 = 7554^2 + 12522^2 .

It is not an unprimeable number, because it can be changed into a prime (213863401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 887280 + ... + 887520.

Almost surely, 2^213863400 is an apocalyptic number.

213863400 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 213863400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394980300).

213863400 is an abundant number, since it is smaller than the sum of its proper divisors (576097200).

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

213863400 is a wasteful number, since it uses less digits than its factorization.

213863400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 213863400 is about 14624.0692011492. The cubic root of 213863400 is about 598.0151075776.

The spelling of 213863400 in words is "two hundred thirteen million, eight hundred sixty-three thousand, four hundred".