4542220800 has 600 divisors, whose sum is σ = 18157975836. Its totient is φ = 1114767360.

The previous prime is 4542220789. The next prime is 4542220841. The reversal of 4542220800 is 80222454.

It is a happy number.

4542220800 is a `hidden beast` number, since 454 + 2 + 2 + 208 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 472801536 + 4069419264 = 21744^2 + 63792^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13478232 + ... + 13478568.

Almost surely, 2^4542220800 is an apocalyptic number.

4542220800 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 4542220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9078987918).

4542220800 is an abundant number, since it is smaller than the sum of its proper divisors (13615755036).

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

4542220800 is a wasteful number, since it uses less digits than its factorization.

4542220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4542220800 is about 67395.9998812986. Note that the first 3 decimals coincide. The cubic root of 4542220800 is about 1656.1108936451.

The spelling of 4542220800 in words is "four billion, five hundred forty-two million, two hundred twenty thousand, eight hundred".