45958209 has 32 divisors (see below), whose sum is σ = 70391808. Its totient is φ = 26400000.

The previous prime is 45958201. The next prime is 45958247. The reversal of 45958209 is 90285954.

It is not a de Polignac number, because 45958209 - 2³ = 45958201 is a prime.

It is a super-2 number, since 2×45958209² = 4224313948975362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45958201) 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, 114409 + ... + 114809.

It is an arithmetic number, because the mean of its divisors is an integer number (2199744).

Almost surely, 2^45958209 is an apocalyptic number.

It is an amenable number.

45958209 is a deficient number, since it is larger than the sum of its proper divisors (24433599).

45958209 is a wasteful number, since it uses less digits than its factorization.

45958209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589.

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 45958209 is about 6779.2484096690. The cubic root of 45958209 is about 358.1962475925.

The spelling of 45958209 in words is "forty-five million, nine hundred fifty-eight thousand, two hundred nine".