398641824 has 240 divisors, whose sum is σ = 1358235648. Its totient is φ = 112347648.

The previous prime is 398641807. The next prime is 398641847. The reversal of 398641824 is 428146893.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 398641824.

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 39 ways as a sum of consecutive naturals, for example, 2304202 + ... + 2304374.

Almost surely, 2^398641824 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 398641824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679117824).

398641824 is an abundant number, since it is smaller than the sum of its proper divisors (959593824).

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

398641824 is a wasteful number, since it uses less digits than its factorization.

398641824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 312 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 398641824 is about 19966.0167284313. The cubic root of 398641824 is about 735.9714268996.

The spelling of 398641824 in words is "three hundred ninety-eight million, six hundred forty-one thousand, eight hundred twenty-four".