213968448 has 168 divisors, whose sum is σ = 661879296. Its totient is φ = 65894400.

The previous prime is 213968441. The next prime is 213968483. The reversal of 213968448 is 844869312.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213968441) 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, 410428 + ... + 410948.

Almost surely, 2^213968448 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 213968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330939648).

213968448 is an abundant number, since it is smaller than the sum of its proper divisors (447910848).

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

213968448 is a wasteful number, since it uses less digits than its factorization.

213968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 580 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 213968448 is about 14627.6603734158. The cubic root of 213968448 is about 598.1130049710.

The spelling of 213968448 in words is "two hundred thirteen million, nine hundred sixty-eight thousand, four hundred forty-eight".