49429920 has 192 divisors, whose sum is σ = 166561920. Its totient is φ = 12300288.

The previous prime is 49429909. The next prime is 49429927. The reversal of 49429920 is 2992494.

49429920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49429927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 737727 + ... + 737793.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^49429920 is an apocalyptic number.

49429920 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 49429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83280960).

49429920 is an abundant number, since it is smaller than the sum of its proper divisors (117132000).

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

49429920 is a wasteful number, since it uses less digits than its factorization.

49429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 49429920 is about 7030.6415070035. The cubic root of 49429920 is about 366.9976662138.

The spelling of 49429920 in words is "forty-nine million, four hundred twenty-nine thousand, nine hundred twenty".