49857760 has 48 divisors (see below), whose sum is σ = 118280736. Its totient is φ = 19859968.

The previous prime is 49857751. The next prime is 49857761. The reversal of 49857760 is 6775894.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 49857760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49857761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50229 + ... + 51211.

It is an arithmetic number, because the mean of its divisors is an integer number (2464182).

Almost surely, 2^49857760 is an apocalyptic number.

49857760 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 49857760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59140368).

49857760 is an abundant number, since it is smaller than the sum of its proper divisors (68422976).

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

49857760 is a wasteful number, since it uses less digits than its factorization.

49857760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 49857760 is about 7061.0027616480. The cubic root of 49857760 is about 368.0534736409.

The spelling of 49857760 in words is "forty-nine million, eight hundred fifty-seven thousand, seven hundred sixty".