5306441600 has 96 divisors (see below), whose sum is σ = 13798651800. Its totient is φ = 2010839040.

The previous prime is 5306441599. The next prime is 5306441627. The reversal of 5306441600 is 61446035.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17162 + ... + 104438.

Almost surely, 2^5306441600 is an apocalyptic number.

5306441600 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 5306441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899325900).

5306441600 is an abundant number, since it is smaller than the sum of its proper divisors (8492210200).

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

5306441600 is a wasteful number, since it uses less digits than its factorization.

5306441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87320 (or 87303 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 5306441600 is about 72845.3265487910. The cubic root of 5306441600 is about 1744.2194684947.

Adding to 5306441600 its reverse (61446035), we get a palindrome (5367887635).

The spelling of 5306441600 in words is "five billion, three hundred six million, four hundred forty-one thousand, six hundred".