49045920 has 192 divisors, whose sum is σ = 192761856. Its totient is φ = 10183680.

The previous prime is 49045889. The next prime is 49045949. The reversal of 49045920 is 2954094.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 36297 + ... + 37623.

It is an arithmetic number, because the mean of its divisors is an integer number (1003968).

Almost surely, 2^49045920 is an apocalyptic number.

49045920 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 49045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96380928).

49045920 is an abundant number, since it is smaller than the sum of its proper divisors (143715936).

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

49045920 is a wasteful number, since it uses less digits than its factorization.

49045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 49045920 is about 7003.2792319027. The cubic root of 49045920 is about 366.0448450530.

The spelling of 49045920 in words is "forty-nine million, forty-five thousand, nine hundred twenty".