49490 has 24 divisors (see below), whose sum is σ = 104652. Its totient is φ = 16800.

The previous prime is 49481. The next prime is 49499. The reversal of 49490 is 9494.

It is an interprime number because it is at equal distance from previous prime (49481) and next prime (49499).

It can be written as a sum of positive squares in 2 ways, for example, as 47089 + 2401 = 217^2 + 49^2 .

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49490.

It is not an unprimeable number, because it can be changed into a prime (49499) by changing a digit.

49490 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 11 ways as a sum of consecutive naturals, for example, 440 + ... + 540.

2⁴⁹⁴⁹⁰ is an apocalyptic number.

49490 is an abundant number, since it is smaller than the sum of its proper divisors (55162).

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 (52326).

49490 is a wasteful number, since it uses less digits than its factorization.

49490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 49490 is about 222.4634801490. The cubic root of 49490 is about 36.7146296116.

The spelling of 49490 in words is "forty-nine thousand, four hundred ninety".