5145284430 has 576 divisors, whose sum is σ = 17611147008. Its totient is φ = 1067489280.

The previous prime is 5145284401. The next prime is 5145284471. The reversal of 5145284430 is 344825415.

It is a happy number.

5145284430 is a `hidden beast` number, since 5 + 145 + 2 + 84 + 430 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 76795257 + ... + 76795323.

It is an arithmetic number, because the mean of its divisors is an integer number (30574908).

Almost surely, 2^5145284430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145284430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805573504).

5145284430 is an abundant number, since it is smaller than the sum of its proper divisors (12465862578).

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

5145284430 is a wasteful number, since it uses less digits than its factorization.

5145284430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5145284430 is about 71730.6380147284. The cubic root of 5145284430 is about 1726.3802639032.

The spelling of 5145284430 in words is "five billion, one hundred forty-five million, two hundred eighty-four thousand, four hundred thirty".