198199440 has 160 divisors (see below), whose sum is σ = 691027200. Its totient is φ = 52208640.

The previous prime is 198199409. The next prime is 198199457. The reversal of 198199440 is 44991891.

198199440 is a `hidden beast` number, since 19 + 8 + 199 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191725 + ... + 192755.

It is an arithmetic number, because the mean of its divisors is an integer number (4318920).

Almost surely, 2^198199440 is an apocalyptic number.

198199440 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 198199440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345513600).

198199440 is an abundant number, since it is smaller than the sum of its proper divisors (492827760).

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

198199440 is a wasteful number, since it uses less digits than its factorization.

198199440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 198199440 is about 14078.3322875971. The cubic root of 198199440 is about 583.0432981758.

The spelling of 198199440 in words is "one hundred ninety-eight million, one hundred ninety-nine thousand, four hundred forty".