44164416 has 112 divisors (see below), whose sum is σ = 124504704. Its totient is φ = 13787136.

The previous prime is 44164411. The next prime is 44164441. The reversal of 44164416 is 61446144.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44164411) 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, 322300 + ... + 322436.

Almost surely, 2^44164416 is an apocalyptic number.

44164416 is a gapful number since it is divisible by the number (46) 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 44164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62252352).

44164416 is an abundant number, since it is smaller than the sum of its proper divisors (80340288).

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

44164416 is a wasteful number, since it uses less digits than its factorization.

44164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 44164416 is about 6645.6313469828. The cubic root of 44164416 is about 353.4740185780.

The spelling of 44164416 in words is "forty-four million, one hundred sixty-four thousand, four hundred sixteen".