45650592 has 144 divisors (see below), whose sum is σ = 142407720. Its totient is φ = 13787136.

The previous prime is 45650573. The next prime is 45650599. The reversal of 45650592 is 29505654.

45650592 is a `hidden beast` number, since 4 + 5 + 65 + 0 + 592 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26255376 + 19395216 = 5124^2 + 4404^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45650599) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333148 + ... + 333284.

Almost surely, 2^45650592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45650592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71203860).

45650592 is an abundant number, since it is smaller than the sum of its proper divisors (96757128).

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

45650592 is a wasteful number, since it uses less digits than its factorization.

45650592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 45650592 is about 6756.5221823065. The cubic root of 45650592 is about 357.3952734141.

The spelling of 45650592 in words is "forty-five million, six hundred fifty thousand, five hundred ninety-two".