898800400 has 45 divisors (see below), whose sum is σ = 2160809461. Its totient is φ = 359280320.

The previous prime is 898800389. The next prime is 898800403. The reversal of 898800400 is 4008898.

The square root of 898800400 is 29980.

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

It can be written as a sum of positive squares in only one way, i.e., 323568144 + 575232256 = 17988^2 + 23984^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 898800400.

It is not an unprimeable number, because it can be changed into a prime (898800403) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 598851 + ... + 600349.

Almost surely, 2^898800400 is an apocalyptic number.

898800400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

898800400 is the 29980-th square number.

It is an amenable number.

898800400 is an abundant number, since it is smaller than the sum of its proper divisors (1262009061).

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

898800400 is an equidigital number, since it uses as much as digits as its factorization.

898800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The cubic root of 898800400 is about 965.0602305199.

The spelling of 898800400 in words is "eight hundred ninety-eight million, eight hundred thousand, four hundred".