44964 has 18 divisors (see below), whose sum is σ = 113750. Its totient is φ = 14976.

The previous prime is 44963. The next prime is 44971. The reversal of 44964 is 46944.

44964 = T₁₀₂ + T₁₀₃ + ... + T₁₀₉.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 8100 = 192^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×44964² = 4043522592, which contains 22 as substring.

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

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 44964.

It is not an unprimeable number, because it can be changed into a prime (44963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589 + ... + 660.

2⁴⁴⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

44964 is an abundant number, since it is smaller than the sum of its proper divisors (68786).

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

44964 is a wasteful number, since it uses less digits than its factorization.

44964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1254 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 44964 is about 212.0471645649. The cubic root of 44964 is about 35.5594454656.

The spelling of 44964 in words is "forty-four thousand, nine hundred sixty-four".