48133440 has 168 divisors, whose sum is σ = 171968160. Its totient is φ = 12814848.

The previous prime is 48133429. The next prime is 48133451. The reversal of 48133440 is 4433184.

48133440 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 (48133429) and next prime (48133451).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 77451 + ... + 78069.

It is an arithmetic number, because the mean of its divisors is an integer number (1023620).

Almost surely, 2^48133440 is an apocalyptic number.

48133440 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 48133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85984080).

48133440 is an abundant number, since it is smaller than the sum of its proper divisors (123834720).

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

48133440 is an equidigital number, since it uses as much as digits as its factorization.

48133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 48133440 is about 6937.8267490620. The cubic root of 48133440 is about 363.7605799877.

The spelling of 48133440 in words is "forty-eight million, one hundred thirty-three thousand, four hundred forty".