49905920 has 72 divisors (see below), whose sum is σ = 120873984. Its totient is φ = 19740672.

The previous prime is 49905907. The next prime is 49905941. The reversal of 49905920 is 2950994.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162407 + ... + 162713.

Almost surely, 2^49905920 is an apocalyptic number.

49905920 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 49905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60436992).

49905920 is an abundant number, since it is smaller than the sum of its proper divisors (70968064).

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

49905920 is a wasteful number, since it uses less digits than its factorization.

49905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 49905920 is about 7064.4122190031. The cubic root of 49905920 is about 368.1719423344.

The spelling of 49905920 in words is "forty-nine million, nine hundred five thousand, nine hundred twenty".