45171720 has 288 divisors, whose sum is σ = 173660760. Its totient is φ = 10137600.

The previous prime is 45171689. The next prime is 45171733. The reversal of 45171720 is 2717154.

45171720 = 550² + 551² + ... + 670².

It can be written as a sum of positive squares in 4 ways, for example, as 30008484 + 15163236 = 5478^2 + 3894^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 740490 + ... + 740550.

Almost surely, 2^45171720 is an apocalyptic number.

45171720 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 45171720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86830380).

45171720 is an abundant number, since it is smaller than the sum of its proper divisors (128489040).

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

45171720 is a wasteful number, since it uses less digits than its factorization.

45171720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 45171720 is about 6720.9909983573. The cubic root of 45171720 is about 356.1411929947.

Adding to 45171720 its reverse (2717154), we get a palindrome (47888874).

The spelling of 45171720 in words is "forty-five million, one hundred seventy-one thousand, seven hundred twenty".