48524160 has 128 divisors (see below), whose sum is σ = 156672000. Its totient is φ = 12773376.

The previous prime is 48524159. The next prime is 48524173. The reversal of 48524160 is 6142584.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 243741 + ... + 243939.

It is an arithmetic number, because the mean of its divisors is an integer number (1224000).

Almost surely, 2^48524160 is an apocalyptic number.

48524160 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 48524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78336000).

48524160 is an abundant number, since it is smaller than the sum of its proper divisors (108147840).

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

48524160 is a wasteful number, since it uses less digits than its factorization.

48524160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 48524160 is about 6965.9285095384. The cubic root of 48524160 is about 364.7421961352.

It can be divided in two parts, 48524 and 160, that added together give a palindrome (48684).

The spelling of 48524160 in words is "forty-eight million, five hundred twenty-four thousand, one hundred sixty".