444489192 has 216 divisors, whose sum is σ = 1482185250. Its totient is φ = 119968128.

The previous prime is 444489169. The next prime is 444489193. The reversal of 444489192 is 291984444.

It can be written as a sum of positive squares in only one way, i.e., 336869316 + 107619876 = 18354^2 + 10374^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (444489193) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1273434 + ... + 1273782.

Almost surely, 2^444489192 is an apocalyptic number.

444489192 is a gapful number since it is divisible by the number (42) 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 444489192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741092625).

444489192 is an abundant number, since it is smaller than the sum of its proper divisors (1037696058).

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

444489192 is a wasteful number, since it uses less digits than its factorization.

444489192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 380 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 444489192 is about 21082.9123225422. The cubic root of 444489192 is about 763.1684390915.

It can be divided in two parts, 4444 and 89192, that added together give a square (93636 = 306²).

The spelling of 444489192 in words is "four hundred forty-four million, four hundred eighty-nine thousand, one hundred ninety-two".