45236160 has 168 divisors, whose sum is σ = 158099760. Its totient is φ = 11870208.

The previous prime is 45236153. The next prime is 45236171. The reversal of 45236160 is 6163254.

45236160 is a `hidden beast` number, since 45 + 2 + 3 + 616 + 0 = 666.

45236160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 325371 + ... + 325509.

It is an arithmetic number, because the mean of its divisors is an integer number (941070).

Almost surely, 2^45236160 is an apocalyptic number.

45236160 is a gapful number since it is divisible by the number (40) 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 45236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79049880).

45236160 is an abundant number, since it is smaller than the sum of its proper divisors (112863600).

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

45236160 is a wasteful number, since it uses less digits than its factorization.

45236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45236160 is about 6725.7832257663. The cubic root of 45236160 is about 356.3104643447.

The spelling of 45236160 in words is "forty-five million, two hundred thirty-six thousand, one hundred sixty".