49984080 has 80 divisors (see below), whose sum is σ = 164078784. Its totient is φ = 12544000.

The previous prime is 49984069. The next prime is 49984111. The reversal of 49984080 is 8048994.

49984080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2046 + ... + 10205.

Almost surely, 2^49984080 is an apocalyptic number.

49984080 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 49984080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82039392).

49984080 is an abundant number, since it is smaller than the sum of its proper divisors (114094704).

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

49984080 is a wasteful number, since it uses less digits than its factorization.

49984080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12284 (or 12278 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 49984080 is about 7069.9420082487. The cubic root of 49984080 is about 368.3640458592.

The spelling of 49984080 in words is "forty-nine million, nine hundred eighty-four thousand, eighty".