98258400 has 144 divisors (see below), whose sum is σ = 355446000. Its totient is φ = 26196480.

The previous prime is 98258399. The next prime is 98258411. The reversal of 98258400 is 485289.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19326 + ... + 23874.

It is an arithmetic number, because the mean of its divisors is an integer number (2468375).

Almost surely, 2^98258400 is an apocalyptic number.

98258400 is a gapful number since it is divisible by the number (90) 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 98258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177723000).

98258400 is an abundant number, since it is smaller than the sum of its proper divisors (257187600).

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

98258400 is a wasteful number, since it uses less digits than its factorization.

98258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 98258400 is about 9912.5375156919. The cubic root of 98258400 is about 461.4484901546.

It can be divided in two parts, 9825 and 8400, that added together give a square (18225 = 135²).

The spelling of 98258400 in words is "ninety-eight million, two hundred fifty-eight thousand, four hundred".