722534400 has 459 divisors, whose sum is σ = 3010831941. Its totient is φ = 165150720.

The previous prime is 722534387. The next prime is 722534401. The reversal of 722534400 is 4435227.

The square root of 722534400 is 26880.

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

722534400 is a `hidden beast` number, since 7 + 2 + 253 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 260112384 + 462422016 = 16128^2 + 21504^2 .

It is not an unprimeable number, because it can be changed into a prime (722534401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103219197 + ... + 103219203.

Almost surely, 2^722534400 is an apocalyptic number.

722534400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

722534400 is the 26880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 722534400

722534400 is an abundant number, since it is smaller than the sum of its proper divisors (2288297541).

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

722534400 is an equidigital number, since it uses as much as digits as its factorization.

722534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

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

The cubic root of 722534400 is about 897.3313541127.

Adding to 722534400 its reverse (4435227), we get a palindrome (726969627).

The spelling of 722534400 in words is "seven hundred twenty-two million, five hundred thirty-four thousand, four hundred".