45407648 has 48 divisors (see below), whose sum is σ = 105035616. Its totient is φ = 19050240.

The previous prime is 45407641. The next prime is 45407671. The reversal of 45407648 is 84670454.

45407648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45407641) 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 7 ways as a sum of consecutive naturals, for example, 386 + ... + 9537.

It is an arithmetic number, because the mean of its divisors is an integer number (2188242).

Almost surely, 2^45407648 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 45407648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52517808).

45407648 is an abundant number, since it is smaller than the sum of its proper divisors (59627968).

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

45407648 is a wasteful number, since it uses less digits than its factorization.

45407648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9957 (or 9949 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 45407648 is about 6738.5197187513. The cubic root of 45407648 is about 356.7601482433.

The spelling of 45407648 in words is "forty-five million, four hundred seven thousand, six hundred forty-eight".