45545760 has 192 divisors, whose sum is σ = 171884160. Its totient is φ = 11197440.

The previous prime is 45545723. The next prime is 45545761. The reversal of 45545760 is 6754554.

It is a happy number.

45545760 is a `hidden beast` number, since 45 + 545 + 76 + 0 = 666.

45545760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (45545761) 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 31 ways as a sum of consecutive naturals, for example, 55755 + ... + 56565.

It is an arithmetic number, because the mean of its divisors is an integer number (895230).

Almost surely, 2^45545760 is an apocalyptic number.

45545760 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 45545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85942080).

45545760 is an abundant number, since it is smaller than the sum of its proper divisors (126338400).

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

45545760 is a wasteful number, since it uses less digits than its factorization.

45545760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 45545760 is about 6748.7598860828. The cubic root of 45545760 is about 357.1214896169.

The spelling of 45545760 in words is "forty-five million, five hundred forty-five thousand, seven hundred sixty".