398941632 has 224 divisors, whose sum is σ = 1280160000. Its totient is φ = 121347072.

The previous prime is 398941619. The next prime is 398941637. The reversal of 398941632 is 236149893.

It is a happy number.

398941632 is a `hidden beast` number, since 3 + 9 + 8 + 9 + 4 + 1 + 632 = 666.

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 (398941637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951919 + ... + 952337.

It is an arithmetic number, because the mean of its divisors is an integer number (5715000).

Almost surely, 2^398941632 is an apocalyptic number.

398941632 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 398941632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640080000).

398941632 is an abundant number, since it is smaller than the sum of its proper divisors (881218368).

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

398941632 is a wasteful number, since it uses less digits than its factorization.

398941632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 398941632 is about 19973.5232745753. The cubic root of 398941632 is about 736.1558822313.

The spelling of 398941632 in words is "three hundred ninety-eight million, nine hundred forty-one thousand, six hundred thirty-two".