5304385440 has 120 divisors (see below), whose sum is σ = 18720106020. Its totient is φ = 1414499328.

The previous prime is 5304385433. The next prime is 5304385451. The reversal of 5304385440 is 445834035.

5304385440 is a `hidden beast` number, since 530 + 4 + 3 + 85 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5303917584 + 467856 = 72828^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5304385395 and 5304385404.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 191685 + ... + 217604.

Almost surely, 2^5304385440 is an apocalyptic number.

It is an amenable number.

5304385440 is an abundant number, since it is smaller than the sum of its proper divisors (13415720580).

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

5304385440 is a wasteful number, since it uses less digits than its factorization.

5304385440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409316 (or 409299 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5304385440 is about 72831.2119904646. The cubic root of 5304385440 is about 1743.9941538114.

The spelling of 5304385440 in words is "five billion, three hundred four million, three hundred eighty-five thousand, four hundred forty".