4520815200 has 576 divisors, whose sum is σ = 18223833600. Its totient is φ = 1072281600.

The previous prime is 4520815183. The next prime is 4520815213. The reversal of 4520815200 is 25180254.

It is a happy number.

4520815200 is a `hidden beast` number, since 45 + 20 + 81 + 520 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 12592621 + ... + 12592979.

It is an arithmetic number, because the mean of its divisors is an integer number (31638600).

Almost surely, 2^4520815200 is an apocalyptic number.

4520815200 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 4520815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9111916800).

4520815200 is an abundant number, since it is smaller than the sum of its proper divisors (13703018400).

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

4520815200 is a wasteful number, since it uses less digits than its factorization.

4520815200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4520815200 is about 67237.0076669092. The cubic root of 4520815200 is about 1653.5052753599.

Adding to 4520815200 its reverse (25180254), we get a palindrome (4545995454).

The spelling of 4520815200 in words is "four billion, five hundred twenty million, eight hundred fifteen thousand, two hundred".