5300605440 has 640 divisors, whose sum is σ = 21531121920. Its totient is φ = 1224474624.

The previous prime is 5300605421. The next prime is 5300605441. The reversal of 5300605440 is 445060035.

5300605440 is a `hidden beast` number, since 53 + 0 + 0 + 605 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (5300605441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15275347 + ... + 15275693.

It is an arithmetic number, because the mean of its divisors is an integer number (33642378).

Almost surely, 2^5300605440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5300605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10765560960).

5300605440 is an abundant number, since it is smaller than the sum of its proper divisors (16230516480).

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

5300605440 is a wasteful number, since it uses less digits than its factorization.

5300605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5300605440 is about 72805.2569530525. The cubic root of 5300605440 is about 1743.5797882187.

Adding to 5300605440 its reverse (445060035), we get a palindrome (5745665475).

The spelling of 5300605440 in words is "five billion, three hundred million, six hundred five thousand, four hundred forty".