49219200 has 144 divisors (see below), whose sum is σ = 175728150. Its totient is φ = 13117440.

The previous prime is 49219193. The next prime is 49219201. The reversal of 49219200 is 291294.

It can be written as a sum of positive squares in 3 ways, for example, as 28643904 + 20575296 = 5352^2 + 4536^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (49219201) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 27946 + ... + 29654.

Almost surely, 2^49219200 is an apocalyptic number.

49219200 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 49219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87864075).

49219200 is an abundant number, since it is smaller than the sum of its proper divisors (126508950).

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

49219200 is a wasteful number, since it uses less digits than its factorization.

49219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 49219200 is about 7015.6396714769. The cubic root of 49219200 is about 366.4754190902.

The spelling of 49219200 in words is "forty-nine million, two hundred nineteen thousand, two hundred".