49580640 has 192 divisors, whose sum is σ = 181440000. Its totient is φ = 12621312.

The previous prime is 49580623. The next prime is 49580647. The reversal of 49580640 is 4608594.

49580640 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 0 + 640 = 666.

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 = 49580595 and 49580604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49580647) 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 31 ways as a sum of consecutive naturals, for example, 99111 + ... + 99609.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 2^49580640 is an apocalyptic number.

49580640 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 49580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

49580640 is an abundant number, since it is smaller than the sum of its proper divisors (131859360).

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

49580640 is a wasteful number, since it uses less digits than its factorization.

49580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

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

The square root of 49580640 is about 7041.3521428771. The cubic root of 49580640 is about 367.3702999202.

The spelling of 49580640 in words is "forty-nine million, five hundred eighty thousand, six hundred forty".