398193450 has 96 divisors (see below), whose sum is σ = 1073264640. Its totient is φ = 97329600.

The previous prime is 398193449. The next prime is 398193451. The reversal of 398193450 is 54391893.

It is an interprime number because it is at equal distance from previous prime (398193449) and next prime (398193451).

It is not an unprimeable number, because it can be changed into a prime (398193451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86097 + ... + 90603.

It is an arithmetic number, because the mean of its divisors is an integer number (11179840).

Almost surely, 2^398193450 is an apocalyptic number.

398193450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 398193450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536632320).

398193450 is an abundant number, since it is smaller than the sum of its proper divisors (675071190).

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

398193450 is a wasteful number, since it uses less digits than its factorization.

398193450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 398193450 is about 19954.7851404118. The cubic root of 398193450 is about 735.6953944402.

The spelling of 398193450 in words is "three hundred ninety-eight million, one hundred ninety-three thousand, four hundred fifty".