722534000400 has 405 divisors, whose sum is σ = 2596568244543. Its totient is φ = 186052377600.

The previous prime is 722534000327. The next prime is 722534000401. The reversal of 722534000400 is 4000435227.

The square root of 722534000400 is 850020.

It is a perfect power (a square), and thus also a powerful number.

722534000400 is a `hidden beast` number, since 7 + 2 + 253 + 4 + 0 + 0 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50317667856 + 672216332544 = 224316^2 + 819888^2 .

It is not an unprimeable number, because it can be changed into a prime (722534000401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1581036972 + ... + 1581037428.

Almost surely, 2^722534000400 is an apocalyptic number.

722534000400 is the 850020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 722534000400

722534000400 is an abundant number, since it is smaller than the sum of its proper divisors (1874034244143).

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

722534000400 is a wasteful number, since it uses less digits than its factorization.

722534000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 722534000400 its reverse (4000435227), we get a palindrome (726534435627).

It can be divided in two parts, 722534000 and 400, that added together give a square (722534400 = 26880²).

The spelling of 722534000400 in words is "seven hundred twenty-two billion, five hundred thirty-four million, four hundred", and thus it is an aban number.