45900585 has 12 divisors (see below), whose sum is σ = 79561092. Its totient is φ = 24480288.

The previous prime is 45900583. The next prime is 45900641. The reversal of 45900585 is 58500954.

It is a happy number.

45900585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13307904 + 32592681 = 3648^2 + 5709^2 .

It is not a de Polignac number, because 45900585 - 2¹ = 45900583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45900583) 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 11 ways as a sum of consecutive naturals, for example, 509962 + ... + 510051.

It is an arithmetic number, because the mean of its divisors is an integer number (6630091).

Almost surely, 2^45900585 is an apocalyptic number.

45900585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45900585 is a deficient number, since it is larger than the sum of its proper divisors (33660507).

45900585 is a wasteful number, since it uses less digits than its factorization.

45900585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020024 (or 1020021 counting only the distinct ones).

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

The square root of 45900585 is about 6774.9970479698. The cubic root of 45900585 is about 358.0464786778.

The spelling of 45900585 in words is "forty-five million, nine hundred thousand, five hundred eighty-five".