444121600 has 240 divisors, whose sum is σ = 1262684808. Its totient is φ = 153354240.

The previous prime is 444121597. The next prime is 444121603. The reversal of 444121600 is 6121444.

It is an interprime number because it is at equal distance from previous prime (444121597) and next prime (444121603).

It can be written as a sum of positive squares in 12 ways, for example, as 4129024 + 439992576 = 2032^2 + 20976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444121603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2828722 + ... + 2828878.

Almost surely, 2^444121600 is an apocalyptic number.

444121600 is a gapful number since it is divisible by the number (40) 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 444121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631342404).

444121600 is an abundant number, since it is smaller than the sum of its proper divisors (818563208).

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

444121600 is a wasteful number, since it uses less digits than its factorization.

444121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 444121600 is about 21074.1927484779. The cubic root of 444121600 is about 762.9580012920.

The spelling of 444121600 in words is "four hundred forty-four million, one hundred twenty-one thousand, six hundred".