198951400 has 72 divisors (see below), whose sum is σ = 474754770. Its totient is φ = 77509120.

The previous prime is 198951383. The next prime is 198951407. The reversal of 198951400 is 4159891.

It can be written as a sum of positive squares in 9 ways, for example, as 38118276 + 160833124 = 6174^2 + 12682^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 198951400.

It is not an unprimeable number, because it can be changed into a prime (198951407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1452132 + ... + 1452268.

Almost surely, 2^198951400 is an apocalyptic number.

198951400 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 198951400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237377385).

198951400 is an abundant number, since it is smaller than the sum of its proper divisors (275803370).

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

198951400 is a wasteful number, since it uses less digits than its factorization.

198951400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 198951400 is about 14105.0132931522. The cubic root of 198951400 is about 583.7797145666.

The spelling of 198951400 in words is "one hundred ninety-eight million, nine hundred fifty-one thousand, four hundred".