444414124 has 72 divisors (see below), whose sum is σ = 997287200. Its totient is φ = 173083680.

The previous prime is 444414101. The next prime is 444414127. The reversal of 444414124 is 421414444.

It is a super-2 number, since 2×444414124² = 395007827221374752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a junction number, because it is equal to n+sod(n) for n = 444414092 and 444414101.

It is not an unprimeable number, because it can be changed into a prime (444414127) 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, 164674 + ... + 167350.

Almost surely, 2^444414124 is an apocalyptic number.

444414124 is a gapful number since it is divisible by the number (44) 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 444414124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498643600).

444414124 is an abundant number, since it is smaller than the sum of its proper divisors (552873076).

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

444414124 is a wasteful number, since it uses less digits than its factorization.

444414124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2697 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

The square root of 444414124 is about 21081.1319430433. The cubic root of 444414124 is about 763.1254738519.

Adding to 444414124 its reverse (421414444), we get a palindrome (865828568).

The spelling of 444414124 in words is "four hundred forty-four million, four hundred fourteen thousand, one hundred twenty-four".