49980672 has 144 divisors (see below), whose sum is σ = 169079680. Its totient is φ = 14266368.

The previous prime is 49980653. The next prime is 49980677. The reversal of 49980672 is 27608994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49980677) 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, 47868 + ... + 48900.

Almost surely, 2^49980672 is an apocalyptic number.

49980672 is a gapful number since it is divisible by the number (42) 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 49980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84539840).

49980672 is an abundant number, since it is smaller than the sum of its proper divisors (119099008).

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

49980672 is a wasteful number, since it uses less digits than its factorization.

49980672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 49980672 is about 7069.7009837758. The cubic root of 49980672 is about 368.3556737722.

The spelling of 49980672 in words is "forty-nine million, nine hundred eighty thousand, six hundred seventy-two".