49045680 has 120 divisors (see below), whose sum is σ = 174444192. Its totient is φ = 12306432.

The previous prime is 49045679. The next prime is 49045681. The reversal of 49045680 is 8654094.

49045680 is a `hidden beast` number, since 4 + 90 + 4 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49045679) and next prime (49045681).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49045681) 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 23 ways as a sum of consecutive naturals, for example, 10237 + ... + 14243.

Almost surely, 2^49045680 is an apocalyptic number.

49045680 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 49045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87222096).

49045680 is an abundant number, since it is smaller than the sum of its proper divisors (125398512).

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

49045680 is a wasteful number, since it uses less digits than its factorization.

49045680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49045680 is about 7003.2620970516. The cubic root of 49045680 is about 366.0442479873.

The spelling of 49045680 in words is "forty-nine million, forty-five thousand, six hundred eighty".