398948832 has 72 divisors (see below), whose sum is σ = 1140375600. Its totient is φ = 132295680.

The previous prime is 398948813. The next prime is 398948839. The reversal of 398948832 is 238849893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (398948839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53832 + ... + 60792.

It is an arithmetic number, because the mean of its divisors is an integer number (15838550).

Almost surely, 2^398948832 is an apocalyptic number.

398948832 is a gapful number since it is divisible by the number (32) 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 398948832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570187800).

398948832 is an abundant number, since it is smaller than the sum of its proper divisors (741426768).

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

398948832 is a wasteful number, since it uses less digits than its factorization.

398948832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7176 (or 7165 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 398948832 is about 19973.7035123685. The cubic root of 398948832 is about 736.1603108578.

The spelling of 398948832 in words is "three hundred ninety-eight million, nine hundred forty-eight thousand, eight hundred thirty-two".