49838880 has 288 divisors, whose sum is σ = 197878464. Its totient is φ = 10450944.

The previous prime is 49838857. The next prime is 49838911. The reversal of 49838880 is 8883894.

It is a happy number.

49838880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 305679 + ... + 305841.

It is an arithmetic number, because the mean of its divisors is an integer number (687078).

Almost surely, 2^49838880 is an apocalyptic number.

49838880 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 49838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98939232).

49838880 is an abundant number, since it is smaller than the sum of its proper divisors (148039584).

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

49838880 is a wasteful number, since it uses less digits than its factorization.

49838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 49838880 is about 7059.6657144655. The cubic root of 49838880 is about 368.0070099484.

The spelling of 49838880 in words is "forty-nine million, eight hundred thirty-eight thousand, eight hundred eighty".