48284640 has 96 divisors (see below), whose sum is σ = 169011360. Its totient is φ = 12874752.

The previous prime is 48284627. The next prime is 48284671. The reversal of 48284640 is 4648284.

48284640 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 48284595 and 48284604.

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, 1269 + ... + 9908.

It is an arithmetic number, because the mean of its divisors is an integer number (1760535).

Almost surely, 2^48284640 is an apocalyptic number.

48284640 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 48284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84505680).

48284640 is an abundant number, since it is smaller than the sum of its proper divisors (120726720).

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

48284640 is a wasteful number, since it uses less digits than its factorization.

48284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11201 (or 11187 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48284640 is about 6948.7149891185. The cubic root of 48284640 is about 364.1410715923.

The spelling of 48284640 in words is "forty-eight million, two hundred eighty-four thousand, six hundred forty".