4395945600 has 384 divisors, whose sum is σ = 16308331200. Its totient is φ = 1156239360.

The previous prime is 4395945569. The next prime is 4395945611. The reversal of 4395945600 is 65495934.

4395945600 is a `hidden beast` number, since 4 + 3 + 9 + 594 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7170894 + ... + 7171506.

Almost surely, 2^4395945600 is an apocalyptic number.

4395945600 is a gapful number since it is divisible by the number (40) 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 4395945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8154165600).

4395945600 is an abundant number, since it is smaller than the sum of its proper divisors (11912385600).

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

4395945600 is a wasteful number, since it uses less digits than its factorization.

4395945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 4395945600 is about 66301.9275737893. The cubic root of 4395945600 is about 1638.1390749899.

The spelling of 4395945600 in words is "four billion, three hundred ninety-five million, nine hundred forty-five thousand, six hundred".