398394432 has 168 divisors, whose sum is σ = 1224381600. Its totient is φ = 123475968.

The previous prime is 398394401. The next prime is 398394467. The reversal of 398394432 is 234493893.

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

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 23 ways as a sum of consecutive naturals, for example, 645388 + ... + 646004.

Almost surely, 2^398394432 is an apocalyptic number.

398394432 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 398394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612190800).

398394432 is an abundant number, since it is smaller than the sum of its proper divisors (825987168).

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

398394432 is a wasteful number, since it uses less digits than its factorization.

398394432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 398394432 is about 19959.8204400741. The cubic root of 398394432 is about 735.8191505875.

The spelling of 398394432 in words is "three hundred ninety-eight million, three hundred ninety-four thousand, four hundred thirty-two".