45741120 has 224 divisors, whose sum is σ = 158008320. Its totient is φ = 11182080.

The previous prime is 45741083. The next prime is 45741127. The reversal of 45741120 is 2114754.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (45741127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863014 + ... + 863066.

Almost surely, 2^45741120 is an apocalyptic number.

45741120 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 45741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

45741120 is an abundant number, since it is smaller than the sum of its proper divisors (112267200).

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

45741120 is a wasteful number, since it uses less digits than its factorization.

45741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 45741120 is about 6763.2181688897. The cubic root of 45741120 is about 357.6313632037.

Adding to 45741120 its reverse (2114754), we get a palindrome (47855874).

The spelling of 45741120 in words is "forty-five million, seven hundred forty-one thousand, one hundred twenty".