49228800 has 132 divisors (see below), whose sum is σ = 162957576. Its totient is φ = 13107200.

The previous prime is 49228799. The next prime is 49228831. The reversal of 49228800 is 882294.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76480 + ... + 77120.

Almost surely, 2^49228800 is an apocalyptic number.

49228800 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 49228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81478788).

49228800 is an abundant number, since it is smaller than the sum of its proper divisors (113728776).

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

49228800 is a wasteful number, since it uses less digits than its factorization.

49228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 49228800 is about 7016.3238237698. The cubic root of 49228800 is about 366.4992440428.

It can be divided in two parts, 492 and 28800, that added together give a palindrome (29292).

The spelling of 49228800 in words is "forty-nine million, two hundred twenty-eight thousand, eight hundred".