444033252 has 120 divisors (see below), whose sum is σ = 1277248896. Its totient is φ = 133659072.

The previous prime is 444033241. The next prime is 444033259. The reversal of 444033252 is 252330444.

444033252 is a `hidden beast` number, since 4 + 4 + 403 + 3 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (444033259) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 196843 + ... + 199085.

Almost surely, 2^444033252 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 444033252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638624448).

444033252 is an abundant number, since it is smaller than the sum of its proper divisors (833215644).

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

444033252 is a wasteful number, since it uses less digits than its factorization.

444033252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 444033252 is about 21072.0965259748. The cubic root of 444033252 is about 762.9074068275.

Adding to 444033252 its reverse (252330444), we get a palindrome (696363696).

The spelling of 444033252 in words is "four hundred forty-four million, thirty-three thousand, two hundred fifty-two".