398846100 has 144 divisors (see below), whose sum is σ = 1224921600. Its totient is φ = 99918720.

The previous prime is 398846099. The next prime is 398846101. The reversal of 398846100 is 1648893.

It is an interprime number because it is at equal distance from previous prime (398846099) and next prime (398846101).

It is a super-2 number, since 2×398846100² = 318156422970420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398846101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951691 + ... + 952109.

It is an arithmetic number, because the mean of its divisors is an integer number (8506400).

Almost surely, 2^398846100 is an apocalyptic number.

398846100 is a gapful number since it is divisible by the number (30) 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 398846100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612460800).

398846100 is an abundant number, since it is smaller than the sum of its proper divisors (826075500).

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

398846100 is a wasteful number, since it uses less digits than its factorization.

398846100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 398846100 is about 19971.1316654816. The cubic root of 398846100 is about 736.0971166940.

The spelling of 398846100 in words is "three hundred ninety-eight million, eight hundred forty-six thousand, one hundred".