49984000 has 160 divisors (see below), whose sum is σ = 137884032. Its totient is φ = 17920000.

The previous prime is 49983971. The next prime is 49984007. The reversal of 49984000 is 48994.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (49984007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703965 + ... + 704035.

Almost surely, 2^49984000 is an apocalyptic number.

49984000 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 49984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68942016).

49984000 is an abundant number, since it is smaller than the sum of its proper divisors (87900032).

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

49984000 is an equidigital number, since it uses as much as digits as its factorization.

49984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 49984000 is about 7069.9363504914. The cubic root of 49984000 is about 368.3638493357.

It can be divided in two parts, 4998 and 4000, that added together give a palindrome (8998).

The spelling of 49984000 in words is "forty-nine million, nine hundred eighty-four thousand".