45295200 has 216 divisors, whose sum is σ = 166348728. Its totient is φ = 12026880.

The previous prime is 45295199. The next prime is 45295213. The reversal of 45295200 is 259254.

45295200 is a `hidden beast` number, since 452 + 9 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 194284 + ... + 194516.

It is an arithmetic number, because the mean of its divisors is an integer number (770133).

Almost surely, 2^45295200 is an apocalyptic number.

45295200 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 45295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83174364).

45295200 is an abundant number, since it is smaller than the sum of its proper divisors (121053528).

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

45295200 is a wasteful number, since it uses less digits than its factorization.

45295200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 243 counting only the distinct ones).

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

The square root of 45295200 is about 6730.1708745024. The cubic root of 45295200 is about 356.4654098904.

The spelling of 45295200 in words is "forty-five million, two hundred ninety-five thousand, two hundred".