726338400 has 144 divisors (see below), whose sum is σ = 2383847424. Its totient is φ = 192084480.

The previous prime is 726338383. The next prime is 726338471. The reversal of 726338400 is 4833627.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303609 + ... + 305991.

It is an arithmetic number, because the mean of its divisors is an integer number (16554496).

Almost surely, 2^726338400 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 726338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191923712).

726338400 is an abundant number, since it is smaller than the sum of its proper divisors (1657509024).

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

726338400 is a wasteful number, since it uses less digits than its factorization.

726338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 726338400 is about 26950.6660400072. Note that the first 3 decimals coincide. The cubic root of 726338400 is about 898.9033556465.

The spelling of 726338400 in words is "seven hundred twenty-six million, three hundred thirty-eight thousand, four hundred".