45205632 has 48 divisors (see below), whose sum is σ = 130087230. Its totient is φ = 15068160.

The previous prime is 45205631. The next prime is 45205673. The reversal of 45205632 is 23650254.

45205632 is a `hidden beast` number, since 4 + 5 + 20 + 5 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42302016 + 2903616 = 6504^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 45205596 and 45205605.

It is not an unprimeable number, because it can be changed into a prime (45205631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18469 + ... + 20772.

Almost surely, 2^45205632 is an apocalyptic number.

It is an amenable number.

45205632 is an abundant number, since it is smaller than the sum of its proper divisors (84881598).

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

45205632 is a wasteful number, since it uses less digits than its factorization.

45205632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39261 (or 39246 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45205632 is about 6723.5133672805. The cubic root of 45205632 is about 356.2302932774.

Adding to 45205632 its reverse (23650254), we get a palindrome (68855886).

The spelling of 45205632 in words is "forty-five million, two hundred five thousand, six hundred thirty-two".