49040 has 20 divisors (see below), whose sum is σ = 114204. Its totient is φ = 19584.

The previous prime is 49037. The next prime is 49043. The reversal of 49040 is 4094.

It is an interprime number because it is at equal distance from previous prime (49037) and next prime (49043).

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 43264 = 76^2 + 208^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49040.

It is not an unprimeable number, because it can be changed into a prime (49043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 227 + ... + 386.

2⁴⁹⁰⁴⁰ is an apocalyptic number.

49040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49040 is an abundant number, since it is smaller than the sum of its proper divisors (65164).

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 (57102).

49040 is a wasteful number, since it uses less digits than its factorization.

49040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 49040 is about 221.4497685707. The cubic root of 49040 is about 36.6030116864.

It can be divided in two parts, 490 and 40, that multiplied together give a square (19600 = 140²).

The spelling of 49040 in words is "forty-nine thousand, forty".