45841950 has 288 divisors, whose sum is σ = 162489600. Its totient is φ = 9525600.

The previous prime is 45841949. The next prime is 45841951. The reversal of 45841950 is 5914854.

It is an interprime number because it is at equal distance from previous prime (45841949) and next prime (45841951).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45841951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4167445 + ... + 4167455.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

It is a vampire number, since it can be written as 4851 ⋅ 9450 (with its own digits).

Almost surely, 2^45841950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45841950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

45841950 is an abundant number, since it is smaller than the sum of its proper divisors (116647650).

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

45841950 is a wasteful number, since it uses less digits than its factorization.

45841950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 45841950 is about 6770.6683569645. The cubic root of 45841950 is about 357.8939533803.

The spelling of 45841950 in words is "forty-five million, eight hundred forty-one thousand, nine hundred fifty".