49851120 has 160 divisors (see below), whose sum is σ = 176131584. Its totient is φ = 11545600.

The previous prime is 49851119. The next prime is 49851127. The reversal of 49851120 is 2115894.

It is a happy number.

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 (49851127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60310 + ... + 61130.

Almost surely, 2^49851120 is an apocalyptic number.

49851120 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 49851120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88065792).

49851120 is an abundant number, since it is smaller than the sum of its proper divisors (126280464).

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

49851120 is a wasteful number, since it uses less digits than its factorization.

49851120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 49851120 is about 7060.5325578174. The cubic root of 49851120 is about 368.0371339339.

It can be divided in two parts, 4985 and 1120, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 49851120 in words is "forty-nine million, eight hundred fifty-one thousand, one hundred twenty".