198496400 has 60 divisors (see below), whose sum is σ = 478243572. Its totient is φ = 79173120.

The previous prime is 198496399. The next prime is 198496421. The reversal of 198496400 is 4694891.

It can be written as a sum of positive squares in 6 ways, for example, as 50922496 + 147573904 = 7136^2 + 12148^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270434 + ... + 271166.

Almost surely, 2^198496400 is an apocalyptic number.

198496400 is a gapful number since it is divisible by the number (10) 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 198496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239121786).

198496400 is an abundant number, since it is smaller than the sum of its proper divisors (279747172).

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

198496400 is a wasteful number, since it uses less digits than its factorization.

198496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 198496400 is about 14088.8750438067. The cubic root of 198496400 is about 583.3343419484.

The spelling of 198496400 in words is "one hundred ninety-eight million, four hundred ninety-six thousand, four hundred".