4530153600 has 576 divisors, whose sum is σ = 19296800640. Its totient is φ = 989429760.

The previous prime is 4530153599. The next prime is 4530153619. The reversal of 4530153600 is 63510354.

4530153600 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 1 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4636312 + ... + 4637288.

It is an arithmetic number, because the mean of its divisors is an integer number (33501390).

Almost surely, 2^4530153600 is an apocalyptic number.

4530153600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4530153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9648400320).

4530153600 is an abundant number, since it is smaller than the sum of its proper divisors (14766647040).

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

4530153600 is a wasteful number, since it uses less digits than its factorization.

4530153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 4530153600 is about 67306.4157417404. The cubic root of 4530153600 is about 1654.6430107184.

Adding to 4530153600 its reverse (63510354), we get a palindrome (4593663954).

The spelling of 4530153600 in words is "four billion, five hundred thirty million, one hundred fifty-three thousand, six hundred".