49506480 has 120 divisors (see below), whose sum is σ = 172064880. Its totient is φ = 12741120.

The previous prime is 49506467. The next prime is 49506497. The reversal of 49506480 is 8460594.

49506480 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 648 + 0 = 666.

49506480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 19695 + ... + 22065.

It is an arithmetic number, because the mean of its divisors is an integer number (1433874).

Almost surely, 2^49506480 is an apocalyptic number.

49506480 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 49506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86032440).

49506480 is an abundant number, since it is smaller than the sum of its proper divisors (122558400).

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

49506480 is a wasteful number, since it uses less digits than its factorization.

49506480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49506480 is about 7036.0841382121. The cubic root of 49506480 is about 367.1870444117.

The spelling of 49506480 in words is "forty-nine million, five hundred six thousand, four hundred eighty".