45184320 has 168 divisors, whose sum is σ = 161071560. Its totient is φ = 11612160.

The previous prime is 45184309. The next prime is 45184327. The reversal of 45184320 is 2348154.

It can be written as a sum of positive squares in 4 ways, for example, as 3504384 + 41679936 = 1872^2 + 6456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45184327) 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 23 ways as a sum of consecutive naturals, for example, 83250 + ... + 83790.

Almost surely, 2^45184320 is an apocalyptic number.

45184320 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 45184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80535780).

45184320 is an abundant number, since it is smaller than the sum of its proper divisors (115887240).

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

45184320 is a wasteful number, since it uses less digits than its factorization.

45184320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45184320 is about 6721.9282947678. The cubic root of 45184320 is about 356.1743033999.

It can be divided in two parts, 45 and 184320, that multiplied together give a square (8294400 = 2880²).

The spelling of 45184320 in words is "forty-five million, one hundred eighty-four thousand, three hundred twenty".