49434120 has 96 divisors (see below), whose sum is σ = 161530200. Its totient is φ = 13111296.

The previous prime is 49434037. The next prime is 49434127. The reversal of 49434120 is 2143494.

It can be written as a sum of positive squares in 4 ways, for example, as 31337604 + 18096516 = 5598^2 + 4254^2 .

It is not an unprimeable number, because it can be changed into a prime (49434127) 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, 126886 + ... + 127274.

Almost surely, 2^49434120 is an apocalyptic number.

49434120 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 49434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80765100).

49434120 is an abundant number, since it is smaller than the sum of its proper divisors (112096080).

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

49434120 is a wasteful number, since it uses less digits than its factorization.

49434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 752 counting only the distinct ones).

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

The square root of 49434120 is about 7030.9401931747. The cubic root of 49434120 is about 367.0080603674.

The spelling of 49434120 in words is "forty-nine million, four hundred thirty-four thousand, one hundred twenty".