198451296 has 168 divisors, whose sum is σ = 601552224. Its totient is φ = 64385280.

The previous prime is 198451289. The next prime is 198451301. The reversal of 198451296 is 692154891.

198451296 is a `hidden beast` number, since 198 + 451 + 2 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1096326 + ... + 1096506.

It is an arithmetic number, because the mean of its divisors is an integer number (3580668).

Almost surely, 2^198451296 is an apocalyptic number.

198451296 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 198451296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300776112).

198451296 is an abundant number, since it is smaller than the sum of its proper divisors (403100928).

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

198451296 is an equidigital number, since it uses as much as digits as its factorization.

198451296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 198451296 is about 14087.2742572863. The cubic root of 198451296 is about 583.2901552440.

The spelling of 198451296 in words is "one hundred ninety-eight million, four hundred fifty-one thousand, two hundred ninety-six".