49440 has 48 divisors (see below), whose sum is σ = 157248. Its totient is φ = 13056.

The previous prime is 49433. The next prime is 49451. The reversal of 49440 is 4494.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

49440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2⁴⁹⁴⁴⁰ is an apocalyptic number.

49440 is a gapful number since it is divisible by the number (40) 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 49440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

49440 is an abundant number, since it is smaller than the sum of its proper divisors (107808).

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

49440 is a wasteful number, since it uses less digits than its factorization.

49440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 49440 is about 222.3510737550. The cubic root of 49440 is about 36.7022611193.

The spelling of 49440 in words is "forty-nine thousand, four hundred forty".