98465400 has 144 divisors (see below), whose sum is σ = 360813960. Its totient is φ = 23865600.

The previous prime is 98465387. The next prime is 98465401. The reversal of 98465400 is 456489.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98465401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17314 + ... + 22286.

Almost surely, 2^98465400 is an apocalyptic number.

98465400 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 98465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180406980).

98465400 is an abundant number, since it is smaller than the sum of its proper divisors (262348560).

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

98465400 is a wasteful number, since it uses less digits than its factorization.

98465400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 98465400 is about 9922.9733447188. The cubic root of 98465400 is about 461.7723058588.

The spelling of 98465400 in words is "ninety-eight million, four hundred sixty-five thousand, four hundred".