213453600 has 288 divisors, whose sum is σ = 759951360. Its totient is φ = 51840000.

The previous prime is 213453587. The next prime is 213453613. The reversal of 213453600 is 6354312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213453587) and next prime (213453613).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1413525 + ... + 1413675.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2^213453600 is an apocalyptic number.

213453600 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 213453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379975680).

213453600 is an abundant number, since it is smaller than the sum of its proper divisors (546497760).

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

213453600 is a wasteful number, since it uses less digits than its factorization.

213453600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 213453600 is about 14610.0513346121. The cubic root of 213453600 is about 597.6328958664.

The spelling of 213453600 in words is "two hundred thirteen million, four hundred fifty-three thousand, six hundred".