45169200 has 90 divisors (see below), whose sum is σ = 156762164. Its totient is φ = 12044160.

The previous prime is 45169183. The next prime is 45169247. The reversal of 45169200 is 296154.

45169200 is a `hidden beast` number, since 451 + 6 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2674 + ... + 9873.

Almost surely, 2^45169200 is an apocalyptic number.

45169200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45169200 is an abundant number, since it is smaller than the sum of its proper divisors (111592964).

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

45169200 is a wasteful number, since it uses less digits than its factorization.

45169200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12571 (or 12557 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 45169200 is about 6720.8035233891. The cubic root of 45169200 is about 356.1345701748.

It can be divided in two parts, 45169 and 200, that added together give a square (45369 = 213²).

The spelling of 45169200 in words is "forty-five million, one hundred sixty-nine thousand, two hundred".