49545120 has 96 divisors (see below), whose sum is σ = 157090752. Its totient is φ = 13125632.

The previous prime is 49545071. The next prime is 49545127. The reversal of 49545120 is 2154594.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49545127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111619 + ... + 112061.

It is an arithmetic number, because the mean of its divisors is an integer number (1636362).

Almost surely, 2^49545120 is an apocalyptic number.

49545120 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 49545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78545376).

49545120 is an abundant number, since it is smaller than the sum of its proper divisors (107545632).

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

49545120 is a wasteful number, since it uses less digits than its factorization.

49545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 49545120 is about 7038.8294481398. The cubic root of 49545120 is about 367.2825498735.

The spelling of 49545120 in words is "forty-nine million, five hundred forty-five thousand, one hundred twenty".