213057456 has 80 divisors (see below), whose sum is σ = 567686880. Its totient is φ = 68823040.

The previous prime is 213057421. The next prime is 213057473. The reversal of 213057456 is 654750312.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 225946 + ... + 226886.

It is an arithmetic number, because the mean of its divisors is an integer number (7096086).

Almost surely, 2^213057456 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 213057456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283843440).

213057456 is an abundant number, since it is smaller than the sum of its proper divisors (354629424).

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

213057456 is a wasteful number, since it uses less digits than its factorization.

213057456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 213057456 is about 14596.4877967270. The cubic root of 213057456 is about 597.2629555202.

The spelling of 213057456 in words is "two hundred thirteen million, fifty-seven thousand, four hundred fifty-six".