213363456 has 144 divisors (see below), whose sum is σ = 607509504. Its totient is φ = 66322432.

The previous prime is 213363391. The next prime is 213363487. The reversal of 213363456 is 654363312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830080 + ... + 830336.

It is an arithmetic number, because the mean of its divisors is an integer number (4218816).

Almost surely, 2^213363456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213363456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303754752).

213363456 is an abundant number, since it is smaller than the sum of its proper divisors (394146048).

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

213363456 is a wasteful number, since it uses less digits than its factorization.

213363456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 213363456 is about 14606.9660094080. The cubic root of 213363456 is about 597.5487548552.

The spelling of 213363456 in words is "two hundred thirteen million, three hundred sixty-three thousand, four hundred fifty-six".