45852160 has 40 divisors (see below), whose sum is σ = 109943856. Its totient is φ = 18339840.

The previous prime is 45852151. The next prime is 45852167. The reversal of 45852160 is 6125854.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45852167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6396 + ... + 11515.

Almost surely, 2^45852160 is an apocalyptic number.

45852160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45852160 is an abundant number, since it is smaller than the sum of its proper divisors (64091696).

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

45852160 is an equidigital number, since it uses as much as digits as its factorization.

45852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17934 (or 17918 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 45852160 is about 6771.4223025890. The cubic root of 45852160 is about 357.9205216656.

The spelling of 45852160 in words is "forty-five million, eight hundred fifty-two thousand, one hundred sixty".