398836872 has 288 divisors, whose sum is σ = 1344470400. Its totient is φ = 110388096.

The previous prime is 398836843. The next prime is 398836903. The reversal of 398836872 is 278638893.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (3483648) is a multiple of the sum of its prime divisors (144).

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 71 ways as a sum of consecutive naturals, for example, 5048529 + ... + 5048607.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2^398836872 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 398836872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672235200).

398836872 is an abundant number, since it is smaller than the sum of its proper divisors (945633528).

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

398836872 is a wasteful number, since it uses less digits than its factorization.

398836872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 398836872 is about 19970.9006306676. The cubic root of 398836872 is about 736.0914396868.

The spelling of 398836872 in words is "three hundred ninety-eight million, eight hundred thirty-six thousand, eight hundred seventy-two".