244864000 has 88 divisors (see below), whose sum is σ = 611201448. Its totient is φ = 97894400.

The previous prime is 244863991. The next prime is 244864069. The reversal of 244864000 is 468442.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 244859904 = 64^2 + 15648^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 244864000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127044 + ... + 128956.

It is an arithmetic number, because the mean of its divisors is an integer number (6945471).

Almost surely, 2^244864000 is an apocalyptic number.

244864000 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 244864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305600724).

244864000 is an abundant number, since it is smaller than the sum of its proper divisors (366337448).

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

244864000 is an equidigital number, since it uses as much as digits as its factorization.

244864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 244864000 is about 15648.1308787983. The cubic root of 244864000 is about 625.6166713462.

The spelling of 244864000 in words is "two hundred forty-four million, eight hundred sixty-four thousand".