212799456 has 144 divisors (see below), whose sum is σ = 628992000. Its totient is φ = 68200704.

The previous prime is 212799451. The next prime is 212799463. The reversal of 212799456 is 654997212.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212799451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069245 + ... + 1069443.

It is an arithmetic number, because the mean of its divisors is an integer number (4368000).

Almost surely, 2^212799456 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 212799456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

212799456 is an abundant number, since it is smaller than the sum of its proper divisors (416192544).

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

212799456 is a wasteful number, since it uses less digits than its factorization.

212799456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 212799456 is about 14587.6473771476. The cubic root of 212799456 is about 597.0217747502.

The spelling of 212799456 in words is "two hundred twelve million, seven hundred ninety-nine thousand, four hundred fifty-six".