45840800 has 36 divisors (see below), whose sum is σ = 111910806. Its totient is φ = 18336000.

The previous prime is 45840799. The next prime is 45840803. The reversal of 45840800 is 804854.

It can be written as a sum of positive squares in 3 ways, for example, as 26091664 + 19749136 = 5108^2 + 4444^2 .

It is not an unprimeable number, because it can be changed into a prime (45840803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27851 + ... + 29450.

Almost surely, 2^45840800 is an apocalyptic number.

45840800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45840800 is an abundant number, since it is smaller than the sum of its proper divisors (66070006).

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

45840800 is a wasteful number, since it uses less digits than its factorization.

45840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57321 (or 57308 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 45840800 is about 6770.5834312857. The cubic root of 45840800 is about 357.8909606231.

The spelling of 45840800 in words is "forty-five million, eight hundred forty thousand, eight hundred".