645483600 has 240 divisors, whose sum is σ = 2338689600. Its totient is φ = 169044480.

The previous prime is 645483589. The next prime is 645483607. The reversal of 645483600 is 6384546.

645483600 is a `hidden beast` number, since 6 + 4 + 5 + 48 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645483607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 636694 + ... + 637706.

It is an arithmetic number, because the mean of its divisors is an integer number (9744540).

Almost surely, 2^645483600 is an apocalyptic number.

645483600 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 645483600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169344800).

645483600 is an abundant number, since it is smaller than the sum of its proper divisors (1693206000).

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

645483600 is a wasteful number, since it uses less digits than its factorization.

645483600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 645483600 is about 25406.3692801628. The cubic root of 645483600 is about 864.2281419136.

The spelling of 645483600 in words is "six hundred forty-five million, four hundred eighty-three thousand, six hundred".