4524297984 has 288 divisors, whose sum is σ = 14128128000. Its totient is φ = 1425346560.

The previous prime is 4524297937. The next prime is 4524297991. The reversal of 4524297984 is 4897924254.

It is a happy number.

4524297984 is a `hidden beast` number, since 4 + 524 + 29 + 7 + 98 + 4 = 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4524297984.

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, 23687329 + ... + 23687519.

It is an arithmetic number, because the mean of its divisors is an integer number (49056000).

Almost surely, 2^4524297984 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 4524297984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064064000).

4524297984 is an abundant number, since it is smaller than the sum of its proper divisors (9603830016).

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

4524297984 is a wasteful number, since it uses less digits than its factorization.

4524297984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 368 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4524297984 is about 67262.9019891351. The cubic root of 4524297984 is about 1653.9297801786.

The spelling of 4524297984 in words is "four billion, five hundred twenty-four million, two hundred ninety-seven thousand, nine hundred eighty-four".