45075600 has 180 divisors, whose sum is σ = 164907600. Its totient is φ = 11370240.

The previous prime is 45075577. The next prime is 45075623. The reversal of 45075600 is 657054.

45075600 is a `hidden beast` number, since 4 + 50 + 7 + 5 + 600 = 666.

45075600 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 (45075577) and next prime (45075623).

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 68071 + ... + 68729.

Almost surely, 2^45075600 is an apocalyptic number.

45075600 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 45075600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82453800).

45075600 is an abundant number, since it is smaller than the sum of its proper divisors (119832000).

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

45075600 is a wasteful number, since it uses less digits than its factorization.

45075600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 45075600 is about 6713.8364591342. The cubic root of 45075600 is about 355.8884050339. Note that the first 3 decimals are identical.

The spelling of 45075600 in words is "forty-five million, seventy-five thousand, six hundred".