48264660 has 72 divisors (see below), whose sum is σ = 151840416. Its totient is φ = 12869280.

The previous prime is 48264659. The next prime is 48264661. The reversal of 48264660 is 6646284.

It is a happy number.

48264660 is a `hidden beast` number, since 4 + 8 + 2 + 646 + 6 + 0 = 666.

48264660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48264659) and next prime (48264661).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48264661) by changing a digit.

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, 106 + ... + 9825.

Almost surely, 2^48264660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48264660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75920208).

48264660 is an abundant number, since it is smaller than the sum of its proper divisors (103575756).

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

48264660 is a wasteful number, since it uses less digits than its factorization.

48264660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9955 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 48264660 is about 6947.2771644724. The cubic root of 48264660 is about 364.0908379337.

The spelling of 48264660 in words is "forty-eight million, two hundred sixty-four thousand, six hundred sixty".