49981680 has 240 divisors, whose sum is σ = 196844544. Its totient is φ = 11128320.

The previous prime is 49981663. The next prime is 49981681. The reversal of 49981680 is 8618994.

49981680 is a `hidden beast` number, since 499 + 81 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49981681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236775 + ... + 236985.

Almost surely, 2^49981680 is an apocalyptic number.

49981680 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 49981680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98422272).

49981680 is an abundant number, since it is smaller than the sum of its proper divisors (146862864).

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

49981680 is a wasteful number, since it uses less digits than its factorization.

49981680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 49981680 is about 7069.7722735602. The cubic root of 49981680 is about 368.3581500629.

The spelling of 49981680 in words is "forty-nine million, nine hundred eighty-one thousand, six hundred eighty".