49793760 has 144 divisors (see below), whose sum is σ = 171793440. Its totient is φ = 13132800.

The previous prime is 49793753. The next prime is 49793761. The reversal of 49793760 is 6739794.

49793760 = 224² + 225² + ... + 543².

49793760 is a `hidden beast` number, since 497 + 93 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49793761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217326 + ... + 217554.

It is an arithmetic number, because the mean of its divisors is an integer number (1193010).

Almost surely, 2^49793760 is an apocalyptic number.

49793760 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 49793760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85896720).

49793760 is an abundant number, since it is smaller than the sum of its proper divisors (121999680).

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

49793760 is a wasteful number, since it uses less digits than its factorization.

49793760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

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

The square root of 49793760 is about 7056.4693721436. The cubic root of 49793760 is about 367.8959220482.

The spelling of 49793760 in words is "forty-nine million, seven hundred ninety-three thousand, seven hundred sixty".