5848405200 has 480 divisors, whose sum is σ = 23912755200. Its totient is φ = 1342656000.

The previous prime is 5848405183. The next prime is 5848405217. The reversal of 5848405200 is 25048485.

5848405200 is a `hidden beast` number, since 5 + 8 + 48 + 405 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (5848405183) and next prime (5848405217).

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 95 ways as a sum of consecutive naturals, for example, 2255905 + ... + 2258495.

It is an arithmetic number, because the mean of its divisors is an integer number (49818240).

Almost surely, 2^5848405200 is an apocalyptic number.

5848405200 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 5848405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11956377600).

5848405200 is an abundant number, since it is smaller than the sum of its proper divisors (18064350000).

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

5848405200 is a wasteful number, since it uses less digits than its factorization.

5848405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 5848405200 is about 76474.8664595107. The cubic root of 5848405200 is about 1801.6861976942.

The spelling of 5848405200 in words is "five billion, eight hundred forty-eight million, four hundred five thousand, two hundred".