49144320 has 240 divisors, whose sum is σ = 178738560. Its totient is φ = 12939264.

The previous prime is 49144289. The next prime is 49144321. The reversal of 49144320 is 2344194.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (49144321) 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 23 ways as a sum of consecutive naturals, for example, 622041 + ... + 622119.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 2^49144320 is an apocalyptic number.

49144320 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 49144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

49144320 is an abundant number, since it is smaller than the sum of its proper divisors (129594240).

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

49144320 is an frugal number, since it uses more digits than its factorization.

49144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 49144320 is about 7010.3009921115. The cubic root of 49144320 is about 366.2894780526.

The spelling of 49144320 in words is "forty-nine million, one hundred forty-four thousand, three hundred twenty".