398955648 has 256 divisors, whose sum is σ = 1336608000. Its totient is φ = 104767488.

The previous prime is 398955637. The next prime is 398955659. The reversal of 398955648 is 846559893.

It is an interprime number because it is at equal distance from previous prime (398955637) and next prime (398955659).

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 31 ways as a sum of consecutive naturals, for example, 1712140 + ... + 1712372.

It is an arithmetic number, because the mean of its divisors is an integer number (5221125).

Almost surely, 2^398955648 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 398955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

398955648 is an abundant number, since it is smaller than the sum of its proper divisors (937652352).

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

398955648 is a wasteful number, since it uses less digits than its factorization.

398955648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

The square root of 398955648 is about 19973.8741359807. The cubic root of 398955648 is about 736.1645032418.

The spelling of 398955648 in words is "three hundred ninety-eight million, nine hundred fifty-five thousand, six hundred forty-eight".