45792448 has 56 divisors (see below), whose sum is σ = 102156768. Its totient is φ = 20207616.

The previous prime is 45792433. The next prime is 45792493. The reversal of 45792448 is 84429754.

45792448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 17940 + ... + 20332.

It is an arithmetic number, because the mean of its divisors is an integer number (1824228).

Almost surely, 2^45792448 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 45792448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51078384).

45792448 is an abundant number, since it is smaller than the sum of its proper divisors (56364320).

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

45792448 is a wasteful number, since it uses less digits than its factorization.

45792448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2431 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 45792448 is about 6767.0117481795. The cubic root of 45792448 is about 357.7650841729.

The spelling of 45792448 in words is "forty-five million, seven hundred ninety-two thousand, four hundred forty-eight".