45171360 has 288 divisors, whose sum is σ = 176117760. Its totient is φ = 10450944.

The previous prime is 45171359. The next prime is 45171367. The reversal of 45171360 is 6317154.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (45171367) 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, 355617 + ... + 355743.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 2^45171360 is an apocalyptic number.

45171360 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 45171360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

45171360 is an abundant number, since it is smaller than the sum of its proper divisors (130946400).

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

45171360 is a wasteful number, since it uses less digits than its factorization.

45171360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 45171360 is about 6720.9642165392. The cubic root of 45171360 is about 356.1402468926.

It can be divided in two parts, 45 and 171360, that added together give a triangular number (171405 = T₅₈₅).

The spelling of 45171360 in words is "forty-five million, one hundred seventy-one thousand, three hundred sixty".