213465600 has 360 divisors, whose sum is σ = 816292620. Its totient is φ = 53084160.

The previous prime is 213465569. The next prime is 213465619. The reversal of 213465600 is 6564312.

213465600 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 656 + 0 + 0 = 666.

213465600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 129413376 + 84052224 = 11376^2 + 9168^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 1958346 + ... + 1958454.

Almost surely, 2^213465600 is an apocalyptic number.

213465600 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 213465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408146310).

213465600 is an abundant number, since it is smaller than the sum of its proper divisors (602827020).

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

213465600 is a wasteful number, since it uses less digits than its factorization.

213465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 213465600 is about 14610.4620050154. The cubic root of 213465600 is about 597.6440949598.

The spelling of 213465600 in words is "two hundred thirteen million, four hundred sixty-five thousand, six hundred".