198237460 has 72 divisors (see below), whose sum is σ = 446775336. Its totient is φ = 73835520.

The previous prime is 198237451. The next prime is 198237461. The reversal of 198237460 is 64732891.

198237460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11587216 + 186650244 = 3404^2 + 13662^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198237461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433552 + ... + 434008.

It is an arithmetic number, because the mean of its divisors is an integer number (6205213).

Almost surely, 2^198237460 is an apocalyptic number.

198237460 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 198237460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223387668).

198237460 is an abundant number, since it is smaller than the sum of its proper divisors (248537876).

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

198237460 is a wasteful number, since it uses less digits than its factorization.

198237460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 198237460 is about 14079.6825248299. The cubic root of 198237460 is about 583.0805769372.

The spelling of 198237460 in words is "one hundred ninety-eight million, two hundred thirty-seven thousand, four hundred sixty".