49410 has 40 divisors (see below), whose sum is σ = 135036. Its totient is φ = 12960.

The previous prime is 49409. The next prime is 49411. The reversal of 49410 is 1494.

It is an interprime number because it is at equal distance from previous prime (49409) and next prime (49411).

It can be written as a sum of positive squares in 2 ways, for example, as 42849 + 6561 = 207^2 + 81^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (49411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 780 + ... + 840.

2⁴⁹⁴¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67518).

49410 is an abundant number, since it is smaller than the sum of its proper divisors (85626).

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

49410 is a wasteful number, since it uses less digits than its factorization.

49410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 49410 is about 222.2836026341. The cubic root of 49410 is about 36.6948360208.

The spelling of 49410 in words is "forty-nine thousand, four hundred ten".