645730200 has 288 divisors, whose sum is σ = 2321280000. Its totient is φ = 160392960.

The previous prime is 645730177. The next prime is 645730231. The reversal of 645730200 is 2037546.

It is a happy number.

645730200 is a `hidden beast` number, since 6 + 457 + 3 + 0 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2701681 + ... + 2701919.

It is an arithmetic number, because the mean of its divisors is an integer number (8060000).

Almost surely, 2^645730200 is an apocalyptic number.

645730200 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 645730200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160640000).

645730200 is an abundant number, since it is smaller than the sum of its proper divisors (1675549800).

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

645730200 is a wasteful number, since it uses less digits than its factorization.

645730200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

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

The square root of 645730200 is about 25411.2219304779. The cubic root of 645730200 is about 864.3381842269.

Adding to 645730200 its reverse (2037546), we get a palindrome (647767746).

The spelling of 645730200 in words is "six hundred forty-five million, seven hundred thirty thousand, two hundred".