645046200 has 192 divisors, whose sum is σ = 2339136000. Its totient is φ = 162933120.

The previous prime is 645046133. The next prime is 645046229. The reversal of 645046200 is 2640546.

It is a happy number.

645046200 is a `hidden beast` number, since 6 + 450 + 4 + 6 + 200 = 666.

It is a super-3 number, since 3×645046200³ (a number of 27 digits) contains 333 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99457 + ... + 105743.

It is an arithmetic number, because the mean of its divisors is an integer number (12183000).

Almost surely, 2^645046200 is an apocalyptic number.

645046200 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 645046200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169568000).

645046200 is an abundant number, since it is smaller than the sum of its proper divisors (1694089800).

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

645046200 is a wasteful number, since it uses less digits than its factorization.

645046200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6316 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 645046200 is about 25397.7597437254. The cubic root of 645046200 is about 864.0328884086.

Adding to 645046200 its reverse (2640546), we get a palindrome (647686746).

It can be divided in two parts, 6450 and 46200, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 645046200 in words is "six hundred forty-five million, forty-six thousand, two hundred".