4395946464 has 240 divisors, whose sum is σ = 15912677088. Its totient is φ = 1159308288.

The previous prime is 4395946427. The next prime is 4395946493. The reversal of 4395946464 is 4646495934.

4395946464 is a `hidden beast` number, since 4 + 3 + 9 + 594 + 6 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4395946464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 226554 + ... + 245190.

Almost surely, 2^4395946464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4395946464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956338544).

4395946464 is an abundant number, since it is smaller than the sum of its proper divisors (11516730624).

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

4395946464 is a wasteful number, since it uses less digits than its factorization.

4395946464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18679 (or 18662 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 4395946464 is about 66301.9340894366. The cubic root of 4395946464 is about 1638.1391823124.

The spelling of 4395946464 in words is "four billion, three hundred ninety-five million, nine hundred forty-six thousand, four hundred sixty-four".