49834560 has 224 divisors, whose sum is σ = 172346112. Its totient is φ = 12165120.

The previous prime is 49834529. The next prime is 49834567. The reversal of 49834560 is 6543894.

It is not an unprimeable number, because it can be changed into a prime (49834567) 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, 816930 + ... + 816990.

Almost surely, 2^49834560 is an apocalyptic number.

49834560 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 49834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86173056).

49834560 is an abundant number, since it is smaller than the sum of its proper divisors (122511552).

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

49834560 is a wasteful number, since it uses less digits than its factorization.

49834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 49834560 is about 7059.3597443394. The cubic root of 49834560 is about 367.9963767759.

The spelling of 49834560 in words is "forty-nine million, eight hundred thirty-four thousand, five hundred sixty".