44464416 has 96 divisors (see below), whose sum is σ = 122830848. Its totient is φ = 14065920.

The previous prime is 44464411. The next prime is 44464477. The reversal of 44464416 is 61446444.

It is a tau number, because it is divible by the number of its divisors (96).

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 (44464411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199281 + ... + 199503.

It is an arithmetic number, because the mean of its divisors is an integer number (1279488).

Almost surely, 2^44464416 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 44464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61415424).

44464416 is an abundant number, since it is smaller than the sum of its proper divisors (78366432).

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

44464416 is a wasteful number, since it uses less digits than its factorization.

44464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 44464416 is about 6668.1643651008. The cubic root of 44464416 is about 354.2725724772.

The spelling of 44464416 in words is "forty-four million, four hundred sixty-four thousand, four hundred sixteen".