726463296 has 224 divisors, whose sum is σ = 2336718720. Its totient is φ = 219967488.

The previous prime is 726463279. The next prime is 726463313. The reversal of 726463296 is 692364627.

726463296 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 632 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (726463279) and next prime (726463313).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1639651 + ... + 1640093.

It is an arithmetic number, because the mean of its divisors is an integer number (10431780).

Almost surely, 2^726463296 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 726463296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168359360).

726463296 is an abundant number, since it is smaller than the sum of its proper divisors (1610255424).

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

726463296 is a wasteful number, since it uses less digits than its factorization.

726463296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 534 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 726463296 is about 26952.9830631045. The cubic root of 726463296 is about 898.9548757089.

The spelling of 726463296 in words is "seven hundred twenty-six million, four hundred sixty-three thousand, two hundred ninety-six".