244141200 has 180 divisors, whose sum is σ = 859768260. Its totient is φ = 64143360.

The previous prime is 244141189. The next prime is 244141201. The reversal of 244141200 is 2141442.

It can be written as a sum of positive squares in 6 ways, for example, as 42614784 + 201526416 = 6528^2 + 14196^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (244141201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262336 + ... + 263264.

Almost surely, 2^244141200 is an apocalyptic number.

244141200 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 244141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429884130).

244141200 is an abundant number, since it is smaller than the sum of its proper divisors (615627060).

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

244141200 is a wasteful number, since it uses less digits than its factorization.

244141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 244141200 is about 15625.0183999892. The cubic root of 244141200 is about 625.0004906663. Note that the first 3 decimals are identical.

Adding to 244141200 its reverse (2141442), we get a palindrome (246282642).

The spelling of 244141200 in words is "two hundred forty-four million, one hundred forty-one thousand, two hundred".