45171120 has 80 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 11926272.

The previous prime is 45171107. The next prime is 45171127. The reversal of 45171120 is 2117154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45171127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24801 + ... + 26559.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^45171120 is an apocalyptic number.

45171120 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 45171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

45171120 is an abundant number, since it is smaller than the sum of its proper divisors (96248400).

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

45171120 is a wasteful number, since it uses less digits than its factorization.

45171120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 45171120 is about 6720.9463619345. The cubic root of 45171120 is about 356.1396161551.

Adding to 45171120 its reverse (2117154), we get a palindrome (47288274).

The spelling of 45171120 in words is "forty-five million, one hundred seventy-one thousand, one hundred twenty".