48660480 has 256 divisors, whose sum is σ = 188740800. Its totient is φ = 11796480.

The previous prime is 48660467. The next prime is 48660503. The reversal of 48660480 is 8406684.

48660480 is a `hidden beast` number, since 48 + 6 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423675 + ... + 4423685.

Almost surely, 2^48660480 is an apocalyptic number.

48660480 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 48660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94370400).

48660480 is an abundant number, since it is smaller than the sum of its proper divisors (140080320).

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

48660480 is an equidigital number, since it uses as much as digits as its factorization.

48660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48660480 is about 6975.7064158406. The cubic root of 48660480 is about 365.0834362331.

It can be divided in two parts, 486604 and 80, that added together give a palindrome (486684).

The spelling of 48660480 in words is "forty-eight million, six hundred sixty thousand, four hundred eighty".