45748120 has 64 divisors (see below), whose sum is σ = 113127840. Its totient is φ = 16512000.

The previous prime is 45748099. The next prime is 45748123. The reversal of 45748120 is 2184754.

45748120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45748123) 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 15 ways as a sum of consecutive naturals, for example, 75820 + ... + 76420.

Almost surely, 2^45748120 is an apocalyptic number.

45748120 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 45748120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56563920).

45748120 is an abundant number, since it is smaller than the sum of its proper divisors (67379720).

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

45748120 is a wasteful number, since it uses less digits than its factorization.

45748120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 45748120 is about 6763.7356542077. The cubic root of 45748120 is about 357.6496056651.

The spelling of 45748120 in words is "forty-five million, seven hundred forty-eight thousand, one hundred twenty".