45209052 has 144 divisors (see below), whose sum is σ = 141365952. Its totient is φ = 11888640.

The previous prime is 45209051. The next prime is 45209077. The reversal of 45209052 is 25090254.

45209052 is a `hidden beast` number, since 4 + 520 + 90 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45209051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261238 + ... + 261410.

It is an arithmetic number, because the mean of its divisors is an integer number (981708).

Almost surely, 2^45209052 is an apocalyptic number.

45209052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45209052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70682976).

45209052 is an abundant number, since it is smaller than the sum of its proper divisors (96156900).

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

45209052 is a wasteful number, since it uses less digits than its factorization.

45209052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45209052 is about 6723.7676937860. The cubic root of 45209052 is about 356.2392765009.

The spelling of 45209052 in words is "forty-five million, two hundred nine thousand, fifty-two".