49155120 has 160 divisors (see below), whose sum is σ = 193559040. Its totient is φ = 11232000.

The previous prime is 49155107. The next prime is 49155121. The reversal of 49155120 is 2155194.

49155120 is a `hidden beast` number, since 4 + 91 + 551 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (49155121) 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 31 ways as a sum of consecutive naturals, for example, 13495 + ... + 16745.

It is an arithmetic number, because the mean of its divisors is an integer number (1209744).

Almost surely, 2^49155120 is an apocalyptic number.

49155120 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 49155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96779520).

49155120 is an abundant number, since it is smaller than the sum of its proper divisors (144403920).

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

49155120 is a wasteful number, since it uses less digits than its factorization.

49155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 49155120 is about 7011.0712448241. The cubic root of 49155120 is about 366.3163081224.

It can be divided in two parts, 491 and 55120, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 49155120 in words is "forty-nine million, one hundred fifty-five thousand, one hundred twenty".