5290305440 has 192 divisors, whose sum is σ = 15271441920. Its totient is φ = 1692303360.

The previous prime is 5290305431. The next prime is 5290305443. The reversal of 5290305440 is 445030925.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5290305397 and 5290305406.

It is not an unprimeable number, because it can be changed into a prime (5290305443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053656 + ... + 1058664.

It is an arithmetic number, because the mean of its divisors is an integer number (79538760).

Almost surely, 2^5290305440 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 5290305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7635720960).

5290305440 is an abundant number, since it is smaller than the sum of its proper divisors (9981136480).

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

5290305440 is a wasteful number, since it uses less digits than its factorization.

5290305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 5290305440 is about 72734.4859059305. The cubic root of 5290305440 is about 1742.4496961313.

The spelling of 5290305440 in words is "five billion, two hundred ninety million, three hundred five thousand, four hundred forty".