45407565 has 36 divisors (see below), whose sum is σ = 91560924. Its totient is φ = 20756736.

The previous prime is 45407513. The next prime is 45407597. The reversal of 45407565 is 56570454.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33108516 + 12299049 = 5754^2 + 3507^2 .

It is not a de Polignac number, because 45407565 - 2⁸ = 45407309 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8092 + ... + 12501.

It is an arithmetic number, because the mean of its divisors is an integer number (2543359).

Almost surely, 2^45407565 is an apocalyptic number.

45407565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45407565 is an abundant number, since it is smaller than the sum of its proper divisors (46153359).

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

45407565 is a wasteful number, since it uses less digits than its factorization.

45407565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20618 (or 20608 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 45407565 is about 6738.5135601259. The cubic root of 45407565 is about 356.7599308709.

The spelling of 45407565 in words is "forty-five million, four hundred seven thousand, five hundred sixty-five".