8444888400 has 120 divisors (see below), whose sum is σ = 29132753440. Its totient is φ = 2078737920.

The previous prime is 8444888393. The next prime is 8444888423. The reversal of 8444888400 is 48884448.

It is a happy number.

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

It is a super-2 number, since 2×8444888400² (a number of 21 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 8444888400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255070 + ... + 286269.

Almost surely, 2^8444888400 is an apocalyptic number.

8444888400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8444888400 is an abundant number, since it is smaller than the sum of its proper divisors (20687865040).

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

8444888400 is a wasteful number, since it uses less digits than its factorization.

8444888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541373 (or 541362 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 8444888400 is about 91896.0739096073. The cubic root of 8444888400 is about 2036.4072673233.

The spelling of 8444888400 in words is "eight billion, four hundred forty-four million, eight hundred eighty-eight thousand, four hundred".