716448 has 48 divisors (see below), whose sum is σ = 1995840. Its totient is φ = 224256.

The previous prime is 716447. The next prime is 716449. The reversal of 716448 is 844617.

716448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (716447) and next prime (716449).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (716447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1413 + ... + 1851.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2⁷¹⁶⁴⁴⁸ 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 716448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997920).

716448 is an abundant number, since it is smaller than the sum of its proper divisors (1279392).

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

716448 is a wasteful number, since it uses less digits than its factorization.

716448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 716448 is about 846.4325135532. The cubic root of 716448 is about 89.4804634698.

The spelling of 716448 in words is "seven hundred sixteen thousand, four hundred forty-eight".