45958050 has 96 divisors (see below), whose sum is σ = 129009600. Its totient is φ = 12026880.

The previous prime is 45958043. The next prime is 45958051. The reversal of 45958050 is 5085954.

It is a happy number.

45958050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45958050² = 4224284719605000, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45957996 and 45958014.

It is not an unprimeable number, because it can be changed into a prime (45958051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79362 + ... + 79938.

It is an arithmetic number, because the mean of its divisors is an integer number (1343850).

Almost surely, 2^45958050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45958050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64504800).

45958050 is an abundant number, since it is smaller than the sum of its proper divisors (83051550).

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

45958050 is a wasteful number, since it uses less digits than its factorization.

45958050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 45958050 is about 6779.2366826952. The cubic root of 45958050 is about 358.1958345124.

The spelling of 45958050 in words is "forty-five million, nine hundred fifty-eight thousand, fifty".