45447120 has 240 divisors, whose sum is σ = 167132160. Its totient is φ = 11022336.

The previous prime is 45447097. The next prime is 45447121. The reversal of 45447120 is 2174454.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45447121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575241 + ... + 575319.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^45447120 is an apocalyptic number.

45447120 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 45447120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

45447120 is an abundant number, since it is smaller than the sum of its proper divisors (121685040).

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

45447120 is a wasteful number, since it uses less digits than its factorization.

45447120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 45447120 is about 6741.4479156929. The cubic root of 45447120 is about 356.8634932285.

It can be divided in two parts, 4544 and 7120, that added together give a square (11664 = 108²).

The spelling of 45447120 in words is "forty-five million, four hundred forty-seven thousand, one hundred twenty".