444164100 has 216 divisors, whose sum is σ = 1406993280. Its totient is φ = 108103680.

The previous prime is 444164099. The next prime is 444164101. The reversal of 444164100 is 1461444.

It is an interprime number because it is at equal distance from previous prime (444164099) and next prime (444164101).

It is not an unprimeable number, because it can be changed into a prime (444164101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4074846 + ... + 4074954.

Almost surely, 2^444164100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703496640).

444164100 is an abundant number, since it is smaller than the sum of its proper divisors (962829180).

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

444164100 is a wasteful number, since it uses less digits than its factorization.

444164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 444164100 is about 21075.2010666565. The cubic root of 444164100 is about 762.9823374804.

It can be divided in two parts, 44416 and 4100, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 444164100 in words is "four hundred forty-four million, one hundred sixty-four thousand, one hundred".