49129920 has 168 divisors, whose sum is σ = 193206624. Its totient is φ = 11225088.

The previous prime is 49129907. The next prime is 49129921. The reversal of 49129920 is 2992194.

49129920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49129921) 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 23 ways as a sum of consecutive naturals, for example, 18942 + ... + 21378.

Almost surely, 2^49129920 is an apocalyptic number.

49129920 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 49129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96603312).

49129920 is an abundant number, since it is smaller than the sum of its proper divisors (144076704).

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

49129920 is a wasteful number, since it uses less digits than its factorization.

49129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 49129920 is about 7009.2738568271. The cubic root of 49129920 is about 366.2536985109.

The spelling of 49129920 in words is "forty-nine million, one hundred twenty-nine thousand, nine hundred twenty".