45241120 has 48 divisors (see below), whose sum is σ = 107622648. Its totient is φ = 17971200.

The previous prime is 45241111. The next prime is 45241123. The reversal of 45241120 is 2114254.

It can be written as a sum of positive squares in 4 ways, for example, as 22924944 + 22316176 = 4788^2 + 4724^2 .

It is not an unprimeable number, because it can be changed into a prime (45241123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24220 + ... + 26020.

Almost surely, 2^45241120 is an apocalyptic number.

45241120 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 45241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53811324).

45241120 is an abundant number, since it is smaller than the sum of its proper divisors (62381528).

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

45241120 is a wasteful number, since it uses less digits than its factorization.

45241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 45241120 is about 6726.1519459495. The cubic root of 45241120 is about 356.3234866357.

Adding to 45241120 its reverse (2114254), we get a palindrome (47355374).

It can be divided in two parts, 45 and 241120, that added together give a triangular number (241165 = T₆₉₄).

The spelling of 45241120 in words is "forty-five million, two hundred forty-one thousand, one hundred twenty".