45388240 has 40 divisors (see below), whose sum is σ = 106633800. Its totient is φ = 17965056.

The previous prime is 45388157. The next prime is 45388243. The reversal of 45388240 is 4288354.

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 43349056 = 1428^2 + 6584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 45388196 and 45388205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45388243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4836 + ... + 10684.

It is an arithmetic number, because the mean of its divisors is an integer number (2665845).

Almost surely, 2^45388240 is an apocalyptic number.

45388240 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 45388240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53316900).

45388240 is an abundant number, since it is smaller than the sum of its proper divisors (61245560).

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

45388240 is a wasteful number, since it uses less digits than its factorization.

45388240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 45388240 is about 6737.0794859494. The cubic root of 45388240 is about 356.7093125510.

The spelling of 45388240 in words is "forty-five million, three hundred eighty-eight thousand, two hundred forty".