804448844400 has 120 divisors (see below), whose sum is σ = 2577307898880. Its totient is φ = 214487217920.

The previous prime is 804448844371. The next prime is 804448844401. The reversal of 804448844400 is 4448844408.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×804448844400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 804448844400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804448844401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8476411 + ... + 8570789.

It is an arithmetic number, because the mean of its divisors is an integer number (21477565824).

Almost surely, 2^804448844400 is an apocalyptic number.

804448844400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804448844400 is an abundant number, since it is smaller than the sum of its proper divisors (1772859054480).

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

804448844400 is a wasteful number, since it uses less digits than its factorization.

804448844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101503 (or 101492 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 804448844400 in words is "eight hundred four billion, four hundred forty-eight million, eight hundred forty-four thousand, four hundred".