49561920 has 84 divisors (see below), whose sum is σ = 170482260. Its totient is φ = 13215744.

The previous prime is 49561879. The next prime is 49561927. The reversal of 49561920 is 2916594.

49561920 is a `hidden beast` number, since 4 + 9 + 561 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20142144 + 29419776 = 4488^2 + 5424^2 .

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 (49561927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5725 + ... + 11484.

Almost surely, 2^49561920 is an apocalyptic number.

49561920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49561920 is an abundant number, since it is smaller than the sum of its proper divisors (120920340).

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

49561920 is a wasteful number, since it uses less digits than its factorization.

49561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17232 (or 17219 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 49561920 is about 7040.0227272360. The cubic root of 49561920 is about 367.3240584993.

The spelling of 49561920 in words is "forty-nine million, five hundred sixty-one thousand, nine hundred twenty".