398990800 has 90 divisors (see below), whose sum is σ = 1036052178. Its totient is φ = 146787840.

The previous prime is 398990783. The next prime is 398990807. The reversal of 398990800 is 8099893.

It can be written as a sum of positive squares in 9 ways, for example, as 312723856 + 86266944 = 17684^2 + 9288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398990807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1440262 + ... + 1440538.

Almost surely, 2^398990800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518026089).

398990800 is an abundant number, since it is smaller than the sum of its proper divisors (637061378).

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

398990800 is a wasteful number, since it uses less digits than its factorization.

398990800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 398990800 is about 19974.7540660705. The cubic root of 398990800 is about 736.1861237692.

The spelling of 398990800 in words is "three hundred ninety-eight million, nine hundred ninety thousand, eight hundred".