98473200 has 240 divisors, whose sum is σ = 380094720. Its totient is φ = 21288960.

The previous prime is 98473187. The next prime is 98473211. The reversal of 98473200 is 237489.

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

It is a super-2 number, since 2×98473200² = 19393942236480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159292 + ... + 159908.

It is an arithmetic number, because the mean of its divisors is an integer number (1583728).

Almost surely, 2^98473200 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 98473200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190047360).

98473200 is an abundant number, since it is smaller than the sum of its proper divisors (281621520).

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

98473200 is a wasteful number, since it uses less digits than its factorization.

98473200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 98473200 is about 9923.3663642939. The cubic root of 98473200 is about 461.7844987336.

The spelling of 98473200 in words is "ninety-eight million, four hundred seventy-three thousand, two hundred".