398076000 has 288 divisors, whose sum is σ = 1519251552. Its totient is φ = 90854400.

The previous prime is 398075963. The next prime is 398076001. The reversal of 398076000 is 670893.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398076001) 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 47 ways as a sum of consecutive naturals, for example, 587662 + ... + 588338.

It is an arithmetic number, because the mean of its divisors is an integer number (5275179).

Almost surely, 2^398076000 is an apocalyptic number.

398076000 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 398076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759625776).

398076000 is an abundant number, since it is smaller than the sum of its proper divisors (1121175552).

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

398076000 is a wasteful number, since it uses less digits than its factorization.

398076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 398076000 is about 19951.8420202246. The cubic root of 398076000 is about 735.6230544582.

The spelling of 398076000 in words is "three hundred ninety-eight million, seventy-six thousand".