5305347440 has 160 divisors (see below), whose sum is σ = 13374001152. Its totient is φ = 1951488000.

The previous prime is 5305347431. The next prime is 5305347457. The reversal of 5305347440 is 447435035.

It is a super-2 number, since 2×5305347440² = 56293422918229107200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5305347440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16028075 + ... + 16028405.

Almost surely, 2^5305347440 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 5305347440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687000576).

5305347440 is an abundant number, since it is smaller than the sum of its proper divisors (8068653712).

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

5305347440 is a wasteful number, since it uses less digits than its factorization.

5305347440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 35.

The square root of 5305347440 is about 72837.8160024036. The cubic root of 5305347440 is about 1744.0995773320.

The spelling of 5305347440 in words is "five billion, three hundred five million, three hundred forty-seven thousand, four hundred forty".