45548640 has 144 divisors (see below), whose sum is σ = 158977728. Its totient is φ = 11870208.

The previous prime is 45548621. The next prime is 45548689. The reversal of 45548640 is 4684554.

45548640 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 45548595 and 45548604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67344 + ... + 68016.

It is an arithmetic number, because the mean of its divisors is an integer number (1104012).

Almost surely, 2^45548640 is an apocalyptic number.

45548640 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 45548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79488864).

45548640 is an abundant number, since it is smaller than the sum of its proper divisors (113429088).

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

45548640 is a wasteful number, since it uses less digits than its factorization.

45548640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 45548640 is about 6748.9732552441. The cubic root of 45548640 is about 357.1290167589.

The spelling of 45548640 in words is "forty-five million, five hundred forty-eight thousand, six hundred forty".