45241000 has 128 divisors (see below), whose sum is σ = 126696960. Its totient is φ = 14784000.

The previous prime is 45240983. The next prime is 45241003. The reversal of 45241000 is 14254.

It is not an unprimeable number, because it can be changed into a prime (45241003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160860 + ... + 161140.

It is an arithmetic number, because the mean of its divisors is an integer number (989820).

Almost surely, 2^45241000 is an apocalyptic number.

45241000 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 45241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63348480).

45241000 is an abundant number, since it is smaller than the sum of its proper divisors (81455960).

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

45241000 is a wasteful number, since it uses less digits than its factorization.

45241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 45241000 is about 6726.1430255385. The cubic root of 45241000 is about 356.3231715915.

Adding to 45241000 its reverse (14254), we get a palindrome (45255254).

The spelling of 45241000 in words is "forty-five million, two hundred forty-one thousand".