213382400 has 216 divisors, whose sum is σ = 659999424. Its totient is φ = 66355200.

The previous prime is 213382391. The next prime is 213382417. The reversal of 213382400 is 4283312.

213382400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492584 + ... + 493016.

Almost surely, 2^213382400 is an apocalyptic number.

213382400 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 213382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329999712).

213382400 is an abundant number, since it is smaller than the sum of its proper divisors (446617024).

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

213382400 is a wasteful number, since it uses less digits than its factorization.

213382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 213382400 is about 14607.6144527435. The cubic root of 213382400 is about 597.5664392778.

The spelling of 213382400 in words is "two hundred thirteen million, three hundred eighty-two thousand, four hundred".