444162048 has 224 divisors, whose sum is σ = 1358871552. Its totient is φ = 127795200.

The previous prime is 444162041. The next prime is 444162067. The reversal of 444162048 is 840261444.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444162041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8380390 + ... + 8380442.

Almost surely, 2^444162048 is an apocalyptic number.

444162048 is a gapful number since it is divisible by the number (48) 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 444162048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679435776).

444162048 is an abundant number, since it is smaller than the sum of its proper divisors (914709504).

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

444162048 is a wasteful number, since it uses less digits than its factorization.

444162048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 444162048 is about 21075.1523837907. The cubic root of 444162048 is about 762.9811625077.

It can be divided in two parts, 44416 and 2048, that added together give a palindrome (46464).

The spelling of 444162048 in words is "four hundred forty-four million, one hundred sixty-two thousand, forty-eight".