5046479424 has 420 divisors, whose sum is σ = 17480424780. Its totient is φ = 1390878720.

The previous prime is 5046479423. The next prime is 5046479437. The reversal of 5046479424 is 4249746405.

It can be written as a sum of positive squares in 2 ways, for example, as 553190400 + 4493289024 = 23520^2 + 67032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5046479424.

It is not an unprimeable number, because it can be changed into a prime (5046479423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56701972 + ... + 56702060.

It is an arithmetic number, because the mean of its divisors is an integer number (41620059).

Almost surely, 2^5046479424 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 5046479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8740212390).

5046479424 is an abundant number, since it is smaller than the sum of its proper divisors (12433945356).

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

5046479424 is an equidigital number, since it uses as much as digits as its factorization.

5046479424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5046479424 is about 71038.5770127752. The cubic root of 5046479424 is about 1715.2581924198.

The spelling of 5046479424 in words is "five billion, forty-six million, four hundred seventy-nine thousand, four hundred twenty-four".