49461840 has 200 divisors, whose sum is σ = 182298600. Its totient is φ = 12386304.

The previous prime is 49461803. The next prime is 49461851. The reversal of 49461840 is 4816494.

It is a happy number.

49461840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12446784 + 37015056 = 3528^2 + 6084^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 49461795 and 49461804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109936 + ... + 110384.

It is an arithmetic number, because the mean of its divisors is an integer number (911493).

Almost surely, 2^49461840 is an apocalyptic number.

49461840 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 49461840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91149300).

49461840 is an abundant number, since it is smaller than the sum of its proper divisors (132836760).

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

49461840 is a wasteful number, since it uses less digits than its factorization.

49461840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 49461840 is about 7032.9112037619. The cubic root of 49461840 is about 367.0766470200.

It can be divided in two parts, 4946 and 1840, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 49461840 in words is "forty-nine million, four hundred sixty-one thousand, eight hundred forty".