198402880 has 112 divisors (see below), whose sum is σ = 522945360. Its totient is φ = 71221248.

The previous prime is 198402871. The next prime is 198402881. The reversal of 198402880 is 88204891.

It can be written as a sum of positive squares in 8 ways, for example, as 3297856 + 195105024 = 1816^2 + 13968^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198402881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 153276 + ... + 154564.

It is an arithmetic number, because the mean of its divisors is an integer number (4669155).

Almost surely, 2^198402880 is an apocalyptic number.

198402880 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 198402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261472680).

198402880 is an abundant number, since it is smaller than the sum of its proper divisors (324542480).

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

198402880 is a wasteful number, since it uses less digits than its factorization.

198402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 198402880 is about 14085.5557220864. Note that the first 3 decimals coincide. The cubic root of 198402880 is about 583.2427164456.

The spelling of 198402880 in words is "one hundred ninety-eight million, four hundred two thousand, eight hundred eighty".