45345040 has 80 divisors (see below), whose sum is σ = 115617600. Its totient is φ = 16436736.

The previous prime is 45345023. The next prime is 45345049. The reversal of 45345040 is 4054354.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 45344996 and 45345014.

It is not an unprimeable number, because it can be changed into a prime (45345049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60991 + ... + 61729.

It is an arithmetic number, because the mean of its divisors is an integer number (1445220).

Almost surely, 2^45345040 is an apocalyptic number.

45345040 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 45345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57808800).

45345040 is an abundant number, since it is smaller than the sum of its proper divisors (70272560).

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

45345040 is a wasteful number, since it uses less digits than its factorization.

45345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 45345040 is about 6733.8725856672. The cubic root of 45345040 is about 356.5961060327.

Adding to 45345040 its reverse (4054354), we get a palindrome (49399394).

The spelling of 45345040 in words is "forty-five million, three hundred forty-five thousand, forty".