681464448 has 256 divisors, whose sum is σ = 2435270400. Its totient is φ = 183140352.

The previous prime is 681464429. The next prime is 681464449. The reversal of 681464448 is 844464186.

681464448 is a `hidden beast` number, since 68 + 146 + 4 + 448 = 666.

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 (681464449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 410436 + ... + 412092.

It is an arithmetic number, because the mean of its divisors is an integer number (9512775).

Almost surely, 2^681464448 is an apocalyptic number.

681464448 is a gapful number since it is divisible by the number (68) 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 681464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217635200).

681464448 is an abundant number, since it is smaller than the sum of its proper divisors (1753805952).

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

681464448 is a wasteful number, since it uses less digits than its factorization.

681464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1686 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 681464448 is about 26104.8740276600. The cubic root of 681464448 is about 879.9967492993.

The spelling of 681464448 in words is "six hundred eighty-one million, four hundred sixty-four thousand, four hundred forty-eight".