54440 has 16 divisors (see below), whose sum is σ = 122580. Its totient is φ = 21760.

The previous prime is 54437. The next prime is 54443. The reversal of 54440 is 4445.

54440 = T₅₅ + T₅₆ + ... + T₇₈.

It is an interprime number because it is at equal distance from previous prime (54437) and next prime (54443).

It can be written as a sum of positive squares in 2 ways, for example, as 51076 + 3364 = 226^2 + 58^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54443) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 641 + ... + 720.

2⁵⁴⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

54440 is an abundant number, since it is smaller than the sum of its proper divisors (68140).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61290).

54440 is a wasteful number, since it uses less digits than its factorization.

54440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 54440 is about 233.3238093294. The cubic root of 54440 is about 37.9000141557.

Multiplying 54440 by its sum of digits (17), we get a triangular number (925480 = T₁₃₆₀).

Adding to 54440 its reverse (4445), we get a palindrome (58885).

It can be divided in two parts, 54 and 440, that added together give a palindrome (494).

The spelling of 54440 in words is "fifty-four thousand, four hundred forty".