544416 has 48 divisors (see below), whose sum is σ = 1469664. Its totient is φ = 176384.

The previous prime is 544403. The next prime is 544429. The reversal of 544416 is 614445.

It is an interprime number because it is at equal distance from previous prime (544403) and next prime (544429).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 544416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5035 + ... + 5141.

It is an arithmetic number, because the mean of its divisors is an integer number (30618).

2⁵⁴⁴⁴¹⁶ 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 544416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734832).

544416 is an abundant number, since it is smaller than the sum of its proper divisors (925248).

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

544416 is a wasteful number, since it uses less digits than its factorization.

544416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 544416 is about 737.8455122856. The cubic root of 544416 is about 81.6539051743.

It can be divided in two parts, 5444 and 16, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 544416 in words is "five hundred forty-four thousand, four hundred sixteen".