398880000 has 270 divisors, whose sum is σ = 1442314874. Its totient is φ = 105984000.

The previous prime is 398879981. The next prime is 398880047. The reversal of 398880000 is 88893.

It can be written as a sum of positive squares in 5 ways, for example, as 227165184 + 171714816 = 15072^2 + 13104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 1439862 + ... + 1440138.

Almost surely, 2^398880000 is an apocalyptic number.

398880000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721157437).

398880000 is an abundant number, since it is smaller than the sum of its proper divisors (1043434874).

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

398880000 is an equidigital number, since it uses as much as digits as its factorization.

398880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 398880000 is about 19971.9803725119. The cubic root of 398880000 is about 736.1179710079.

The spelling of 398880000 in words is "three hundred ninety-eight million, eight hundred eighty thousand".