49950720 has 156 divisors (see below), whose sum is σ = 173780256. Its totient is φ = 13271040.

The previous prime is 49950713. The next prime is 49950721. The reversal of 49950720 is 2705994.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49950721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184185 + ... + 184455.

It is an arithmetic number, because the mean of its divisors is an integer number (1113976).

Almost surely, 2^49950720 is an apocalyptic number.

49950720 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 49950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86890128).

49950720 is an abundant number, since it is smaller than the sum of its proper divisors (123829536).

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

49950720 is a wasteful number, since it uses less digits than its factorization.

49950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 49950720 is about 7067.5823306135. The cubic root of 49950720 is about 368.2820773641.

The spelling of 49950720 in words is "forty-nine million, nine hundred fifty thousand, seven hundred twenty".