45009360 has 120 divisors (see below), whose sum is σ = 164926944. Its totient is φ = 10909440.

The previous prime is 45009329. The next prime is 45009379. The reversal of 45009360 is 6390054.

It is a happy number.

45009360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 5079 + ... + 10761.

Almost surely, 2^45009360 is an apocalyptic number.

45009360 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 45009360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82463472).

45009360 is an abundant number, since it is smaller than the sum of its proper divisors (119917584).

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

45009360 is a wasteful number, since it uses less digits than its factorization.

45009360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 45009360 is about 6708.9015494342. The cubic root of 45009360 is about 355.7139898663.

It can be divided in two parts, 45009 and 360, that added together give a square (45369 = 213²).

The spelling of 45009360 in words is "forty-five million, nine thousand, three hundred sixty".