726446448 has 320 divisors, whose sum is σ = 2719825920. Its totient is φ = 180154368.

The previous prime is 726446447. The next prime is 726446449. The reversal of 726446448 is 844644627.

It is an interprime number because it is at equal distance from previous prime (726446447) and next prime (726446449).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726446447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 667761 + ... + 668847.

It is an arithmetic number, because the mean of its divisors is an integer number (8499456).

Almost surely, 2^726446448 is an apocalyptic number.

726446448 is a gapful number since it is divisible by the number (78) 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 726446448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359912960).

726446448 is an abundant number, since it is smaller than the sum of its proper divisors (1993379472).

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

726446448 is a wasteful number, since it uses less digits than its factorization.

726446448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1129 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 726446448 is about 26952.6705170378. The cubic root of 726446448 is about 898.9479261911.

The spelling of 726446448 in words is "seven hundred twenty-six million, four hundred forty-six thousand, four hundred forty-eight".