49188960 has 72 divisors (see below), whose sum is σ = 167862240. Its totient is φ = 13116672.

The previous prime is 49188941. The next prime is 49188961. The reversal of 49188960 is 6988194.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49188961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15640 + ... + 18519.

It is an arithmetic number, because the mean of its divisors is an integer number (2331420).

Almost surely, 2^49188960 is an apocalyptic number.

49188960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49188960 is an abundant number, since it is smaller than the sum of its proper divisors (118673280).

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

49188960 is a wasteful number, since it uses less digits than its factorization.

49188960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34180 (or 34169 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 49188960 is about 7013.4841555392. The cubic root of 49188960 is about 366.4003502345.

The spelling of 49188960 in words is "forty-nine million, one hundred eighty-eight thousand, nine hundred sixty".