4521472800 has 288 divisors, whose sum is σ = 15934480128. Its totient is φ = 1107025920.

The previous prime is 4521472763. The next prime is 4521472801. The reversal of 4521472800 is 82741254.

It is a super-2 number, since 2×4521472800² = 40887432562279680000, which contains 22 as substring.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (4521472801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9765369 + ... + 9765831.

It is an arithmetic number, because the mean of its divisors is an integer number (55328056).

Almost surely, 2^4521472800 is an apocalyptic number.

4521472800 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 4521472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967240064).

4521472800 is an abundant number, since it is smaller than the sum of its proper divisors (11413007328).

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

4521472800 is a wasteful number, since it uses less digits than its factorization.

4521472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 4521472800 is about 67241.8976531745. The cubic root of 4521472800 is about 1653.5854447028.

The spelling of 4521472800 in words is "four billion, five hundred twenty-one million, four hundred seventy-two thousand, eight hundred".