98419200 has 240 divisors, whose sum is σ = 356200416. Its totient is φ = 23756800.

The previous prime is 98419199. The next prime is 98419201. The reversal of 98419200 is 291489.

It is an interprime number because it is at equal distance from previous prime (98419199) and next prime (98419201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98419201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 422284 + ... + 422516.

Almost surely, 2^98419200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178100208).

98419200 is an abundant number, since it is smaller than the sum of its proper divisors (257781216).

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

98419200 is a wasteful number, since it uses less digits than its factorization.

98419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 98419200 is about 9920.6451403122. The cubic root of 98419200 is about 461.7000733181.

The spelling of 98419200 in words is "ninety-eight million, four hundred nineteen thousand, two hundred".