398331648 has 432 divisors, whose sum is σ = 1436359680. Its totient is φ = 107827200.

The previous prime is 398331629. The next prime is 398331649. The reversal of 398331648 is 846133893.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398331649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12849393 + ... + 12849423.

Almost surely, 2^398331648 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 398331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718179840).

398331648 is an abundant number, since it is smaller than the sum of its proper divisors (1038028032).

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

398331648 is a wasteful number, since it uses less digits than its factorization.

398331648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 398331648 is about 19958.2476184659. The cubic root of 398331648 is about 735.7804953480.

The spelling of 398331648 in words is "three hundred ninety-eight million, three hundred thirty-one thousand, six hundred forty-eight".