5984870400 has 504 divisors, whose sum is σ = 22817718144. Its totient is φ = 1494220800.

The previous prime is 5984870393. The next prime is 5984870413. The reversal of 5984870400 is 40784895.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31334305 + ... + 31334495.

Almost surely, 2^5984870400 is an apocalyptic number.

5984870400 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 5984870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11408859072).

5984870400 is an abundant number, since it is smaller than the sum of its proper divisors (16832847744).

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

5984870400 is a wasteful number, since it uses less digits than its factorization.

5984870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5984870400 is about 77361.9441327582. The cubic root of 5984870400 is about 1815.5919568128.

The spelling of 5984870400 in words is "five billion, nine hundred eighty-four million, eight hundred seventy thousand, four hundred".