98150400 has 288 divisors, whose sum is σ = 365601600. Its totient is φ = 25804800.

The previous prime is 98150399. The next prime is 98150417. The reversal of 98150400 is 405189.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1382365 + ... + 1382435.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^98150400 is an apocalyptic number.

98150400 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 98150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

98150400 is an abundant number, since it is smaller than the sum of its proper divisors (267451200).

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

98150400 is a wasteful number, since it uses less digits than its factorization.

98150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 98150400 is about 9907.0883714641. The cubic root of 98150400 is about 461.2793622659.

Adding to 98150400 its reverse (405189), we get a palindrome (98555589).

The spelling of 98150400 in words is "ninety-eight million, one hundred fifty thousand, four hundred".