49785840 has 240 divisors, whose sum is σ = 187675488. Its totient is φ = 12192768.

The previous prime is 49785811. The next prime is 49785863. The reversal of 49785840 is 4858794.

49785840 is a `hidden beast` number, since 497 + 85 + 84 + 0 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252622 + ... + 252818.

Almost surely, 2^49785840 is an apocalyptic number.

49785840 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 49785840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

49785840 is an abundant number, since it is smaller than the sum of its proper divisors (137889648).

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

49785840 is a wasteful number, since it uses less digits than its factorization.

49785840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 49785840 is about 7055.9081626677. The cubic root of 49785840 is about 367.8764156535.

It can be divided in two parts, 49785 and 840, that added together give a 4-th power (50625 = 15⁴).

The spelling of 49785840 in words is "forty-nine million, seven hundred eighty-five thousand, eight hundred forty".