49540160 has 112 divisors (see below), whose sum is σ = 126406656. Its totient is φ = 18450432.

The previous prime is 49540157. The next prime is 49540223. The reversal of 49540160 is 6104594.

49540160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390017 + ... + 390143.

Almost surely, 2^49540160 is an apocalyptic number.

49540160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49540160 is the 4064-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63203328).

49540160 is an abundant number, since it is smaller than the sum of its proper divisors (76866496).

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

49540160 is a wasteful number, since it uses less digits than its factorization.

49540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 49540160 is about 7038.4771080114. The cubic root of 49540160 is about 367.2702931518.

The spelling of 49540160 in words is "forty-nine million, five hundred forty thousand, one hundred sixty".