49416 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 15680.

The previous prime is 49411. The next prime is 49417. The reversal of 49416 is 61494.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49416.

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

49416 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, 661 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁴⁹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

49416 is an abundant number, since it is smaller than the sum of its proper divisors (80184).

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

49416 is a wasteful number, since it uses less digits than its factorization.

49416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 49416 is about 222.2970984966. The cubic root of 49416 is about 36.6963212809.

It can be divided in two parts, 4941 and 6, that multiplied together give a triangular number (29646 = T₂₄₃).

The spelling of 49416 in words is "forty-nine thousand, four hundred sixteen".