824064528400 has 45 divisors (see below), whose sum is σ = 1979858649271. Its totient is φ = 329618549120.

The previous prime is 824064528373. The next prime is 824064528401. The reversal of 824064528400 is 4825460428.

The square root of 824064528400 is 907780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6964236304 + 817100292096 = 83452^2 + 903936^2 .

It is a super-2 number, since 2×824064528400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (824064528401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18132906 + ... + 18178294.

Almost surely, 2^824064528400 is an apocalyptic number.

824064528400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

824064528400 is the 907780-th square number.

It is an amenable number.

824064528400 is an abundant number, since it is smaller than the sum of its proper divisors (1155794120871).

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

824064528400 is an frugal number, since it uses more digits than its factorization.

824064528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90796 (or 45396 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 43.

Adding to 824064528400 its reverse (4825460428), we get a palindrome (828889988828).

The spelling of 824064528400 in words is "eight hundred twenty-four billion, sixty-four million, five hundred twenty-eight thousand, four hundred".