45414160 has 40 divisors (see below), whose sum is σ = 115189056. Its totient is φ = 16513920.

The previous prime is 45414151. The next prime is 45414169. The reversal of 45414160 is 6141454.

45414160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45414151) and next prime (45414169).

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

It is not an unprimeable number, because it can be changed into a prime (45414169) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24924 + ... + 26683.

Almost surely, 2^45414160 is an apocalyptic number.

45414160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45414160 is an abundant number, since it is smaller than the sum of its proper divisors (69774896).

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

45414160 is a wasteful number, since it uses less digits than its factorization.

45414160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51631 (or 51625 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 45414160 is about 6739.0028936038. The cubic root of 45414160 is about 356.7772019860. Note that the first 3 decimals are identical.

The spelling of 45414160 in words is "forty-five million, four hundred fourteen thousand, one hundred sixty".