198434880 has 448 divisors, whose sum is σ = 851489280. Its totient is φ = 42467328.

The previous prime is 198434861. The next prime is 198434903. The reversal of 198434880 is 88434891.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×198434880² = 78752803201228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028064 + ... + 1028256.

Almost surely, 2^198434880 is an apocalyptic number.

198434880 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 198434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425744640).

198434880 is an abundant number, since it is smaller than the sum of its proper divisors (653054400).

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

198434880 is a wasteful number, since it uses less digits than its factorization.

198434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 198434880 is about 14086.6915917117. The cubic root of 198434880 is about 583.2740714400.

It can be divided in two parts, 1984 and 34880, that added together give a square (36864 = 192²).

The spelling of 198434880 in words is "one hundred ninety-eight million, four hundred thirty-four thousand, eight hundred eighty".