4418470800 has 90 divisors (see below), whose sum is σ = 15333333522. Its totient is φ = 1178257920.

The previous prime is 4418470789. The next prime is 4418470801. The reversal of 4418470800 is 80748144.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 295289856 + 4123180944 = 17184^2 + 64212^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4418470801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 610077 + ... + 617276.

Almost surely, 2^4418470800 is an apocalyptic number.

4418470800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4418470800 is an abundant number, since it is smaller than the sum of its proper divisors (10914862722).

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

4418470800 is a wasteful number, since it uses less digits than its factorization.

4418470800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227377 (or 1227363 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4418470800 is about 66471.5788890259. The cubic root of 4418470800 is about 1640.9322975944.

The spelling of 4418470800 in words is "four billion, four hundred eighteen million, four hundred seventy thousand, eight hundred".