645307200 has 252 divisors, whose sum is σ = 2351664588. Its totient is φ = 167731200.

The previous prime is 645307189. The next prime is 645307207. The reversal of 645307200 is 2703546.

It is a happy number.

645307200 is a `hidden beast` number, since 6 + 453 + 0 + 7 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5419584 + 639887616 = 2328^2 + 25296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645307207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 589854 + ... + 590946.

Almost surely, 2^645307200 is an apocalyptic number.

645307200 is a gapful number since it is divisible by the number (60) 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 645307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175832294).

645307200 is an abundant number, since it is smaller than the sum of its proper divisors (1706357388).

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

645307200 is a wasteful number, since it uses less digits than its factorization.

645307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 645307200 is about 25402.8974725325. The cubic root of 645307200 is about 864.1494083183.

The spelling of 645307200 in words is "six hundred forty-five million, three hundred seven thousand, two hundred".