49645840 has 40 divisors (see below), whose sum is σ = 117021528. Its totient is φ = 19584000.

The previous prime is 49645837. The next prime is 49645847. The reversal of 49645840 is 4854694.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 49056016 = 768^2 + 7004^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 49645793 and 49645802.

It is not an unprimeable number, because it can be changed into a prime (49645847) 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 7 ways as a sum of consecutive naturals, for example, 1590 + ... + 10090.

Almost surely, 2^49645840 is an apocalyptic number.

49645840 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 49645840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58510764).

49645840 is an abundant number, since it is smaller than the sum of its proper divisors (67375688).

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

49645840 is a wasteful number, since it uses less digits than its factorization.

49645840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8581 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 49645840 is about 7045.9804143923. The cubic root of 49645840 is about 367.5312636337.

The spelling of 49645840 in words is "forty-nine million, six hundred forty-five thousand, eight hundred forty".