4473964800 has 432 divisors, whose sum is σ = 17382012480. Its totient is φ = 1122140160.

The previous prime is 4473964769. The next prime is 4473964837. The reversal of 4473964800 is 84693744.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4473964800² = 40032722063278080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2936839 + ... + 2938361.

It is an arithmetic number, because the mean of its divisors is an integer number (40236140).

Almost surely, 2^4473964800 is an apocalyptic number.

4473964800 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 4473964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8691006240).

4473964800 is an abundant number, since it is smaller than the sum of its proper divisors (12908047680).

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

4473964800 is a wasteful number, since it uses less digits than its factorization.

4473964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4473964800 is about 66887.7029056911. The cubic root of 4473964800 is about 1647.7735259213.

The spelling of 4473964800 in words is "four billion, four hundred seventy-three million, nine hundred sixty-four thousand, eight hundred".