5301024480 has 288 divisors, whose sum is σ = 19116609120. Its totient is φ = 1371156480.

The previous prime is 5301024479. The next prime is 5301024493. The reversal of 5301024480 is 844201035.

5301024480 is a `hidden beast` number, since 530 + 10 + 2 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30641674 + ... + 30641846.

It is an arithmetic number, because the mean of its divisors is an integer number (66377115).

Almost surely, 2^5301024480 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 5301024480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558304560).

5301024480 is an abundant number, since it is smaller than the sum of its proper divisors (13815584640).

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

5301024480 is a wasteful number, since it uses less digits than its factorization.

5301024480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5301024480 is about 72808.1347103468. The cubic root of 5301024480 is about 1743.6257333112.

The spelling of 5301024480 in words is "five billion, three hundred one million, twenty-four thousand, four hundred eighty".