198412416 has 96 divisors (see below), whose sum is σ = 592191600. Its totient is φ = 66127104.

The previous prime is 198412399. The next prime is 198412429. The reversal of 198412416 is 614214891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 27915 + ... + 34293.

Almost surely, 2^198412416 is an apocalyptic number.

198412416 is a gapful number since it is divisible by the number (16) 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 198412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296095800).

198412416 is an abundant number, since it is smaller than the sum of its proper divisors (393779184).

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

198412416 is an frugal number, since it uses more digits than its factorization.

198412416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6384 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 198412416 is about 14085.8942208154. The cubic root of 198412416 is about 583.2520605865.

It can be divided in two parts, 1984 and 12416, that added together give a square (14400 = 120²).

The spelling of 198412416 in words is "one hundred ninety-eight million, four hundred twelve thousand, four hundred sixteen".