49779360 has 240 divisors, whose sum is σ = 184415616. Its totient is φ = 12621312.

The previous prime is 49779347. The next prime is 49779377. The reversal of 49779360 is 6397794.

49779360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 297997 + ... + 298163.

Almost surely, 2^49779360 is an apocalyptic number.

49779360 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 49779360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808).

49779360 is an abundant number, since it is smaller than the sum of its proper divisors (134636256).

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

49779360 is a wasteful number, since it uses less digits than its factorization.

49779360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 49779360 is about 7055.4489580749. The cubic root of 49779360 is about 367.8604543373.

The spelling of 49779360 in words is "forty-nine million, seven hundred seventy-nine thousand, three hundred sixty".