726422400 has 288 divisors, whose sum is σ = 2828914920. Its totient is φ = 176025600.

The previous prime is 726422387. The next prime is 726422407. The reversal of 726422400 is 4224627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726422407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 315654 + ... + 317946.

Almost surely, 2^726422400 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 726422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414457460).

726422400 is an abundant number, since it is smaller than the sum of its proper divisors (2102492520).

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

726422400 is a wasteful number, since it uses less digits than its factorization.

726422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 726422400 is about 26952.2243979973. The cubic root of 726422400 is about 898.9380066078.

The spelling of 726422400 in words is "seven hundred twenty-six million, four hundred twenty-two thousand, four hundred".