5984240400 has 180 divisors, whose sum is σ = 20982293332. Its totient is φ = 1579253760.

The previous prime is 5984240389. The next prime is 5984240413. The reversal of 5984240400 is 40424895.

5984240400 is a `hidden beast` number, since 5 + 9 + 8 + 4 + 240 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1489342464 + 4494897936 = 38592^2 + 67044^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×5984240400² = 71622266329984320000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340632 + ... + 357768.

Almost surely, 2^5984240400 is an apocalyptic number.

5984240400 is a gapful number since it is divisible by the number (50) 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 5984240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10491146666).

5984240400 is an abundant number, since it is smaller than the sum of its proper divisors (14998052932).

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

5984240400 is a wasteful number, since it uses less digits than its factorization.

5984240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17258 (or 17244 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5984240400 is about 77357.8722561576. The cubic root of 5984240400 is about 1815.5282482168.

The spelling of 5984240400 in words is "five billion, nine hundred eighty-four million, two hundred forty thousand, four hundred".