198484240 has 80 divisors (see below), whose sum is σ = 475349040. Its totient is φ = 77045760.

The previous prime is 198484229. The next prime is 198484249. The reversal of 198484240 is 42484891.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21381376 + 177102864 = 4624^2 + 13308^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 198484193 and 198484202.

It is not an unprimeable number, because it can be changed into a prime (198484249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434092 + ... + 434548.

It is an arithmetic number, because the mean of its divisors is an integer number (5941863).

Almost surely, 2^198484240 is an apocalyptic number.

198484240 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 198484240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237674520).

198484240 is an abundant number, since it is smaller than the sum of its proper divisors (276864800).

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

198484240 is a wasteful number, since it uses less digits than its factorization.

198484240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 198484240 is about 14088.4434910319. The cubic root of 198484240 is about 583.3224299096.

The spelling of 198484240 in words is "one hundred ninety-eight million, four hundred eighty-four thousand, two hundred forty".