398800900 has 27 divisors (see below), whose sum is σ = 865831519. Its totient is φ = 159440480.

The previous prime is 398800873. The next prime is 398800903. The reversal of 398800900 is 9008893.

The square root of 398800900 is 19970.

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 192820996 + 205979904 = 13886^2 + 14352^2 .

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 398800900.

It is not an unprimeable number, because it can be changed into a prime (398800903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 198702 + ... + 200698.

Almost surely, 2^398800900 is an apocalyptic number.

398800900 is the 19970-th square number.

It is an amenable number.

398800900 is an abundant number, since it is smaller than the sum of its proper divisors (467030619).

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

398800900 is an equidigital number, since it uses as much as digits as its factorization.

398800900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The cubic root of 398800900 is about 736.0693091039.

The spelling of 398800900 in words is "three hundred ninety-eight million, eight hundred thousand, nine hundred".