244828396800 has 1080 divisors, whose sum is σ = 1032704824536. Its totient is φ = 56693882880.

The previous prime is 244828396793. The next prime is 244828396801. The reversal of 244828396800 is 8693828442.

244828396800 is a `hidden beast` number, since 2 + 4 + 482 + 83 + 9 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 142448875776 + 102379521024 = 377424^2 + 319968^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244828396801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 114565332 + ... + 114567468.

Almost surely, 2^244828396800 is an apocalyptic number.

244828396800 is a gapful number since it is divisible by the number (20) 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 244828396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516352412268).

244828396800 is an abundant number, since it is smaller than the sum of its proper divisors (787876427736).

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

244828396800 is a wasteful number, since it uses less digits than its factorization.

244828396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 244828396800 in words is "two hundred forty-four billion, eight hundred twenty-eight million, three hundred ninety-six thousand, eight hundred".