4294968320 has 88 divisors (see below), whose sum is σ = 10333730904. Its totient is φ = 1712848896.

The previous prime is 4294968317. The next prime is 4294968329. The reversal of 4294968320 is 238694924.

It can be written as a sum of positive squares in 4 ways, for example, as 4194304 + 4290774016 = 2048^2 + 65504^2 .

It is a Leyland number of the form 32² + 2³².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4294968329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2031584 + ... + 2033696.

It is the magic constant of a 2048 × 2048 magic square.

Almost surely, 2^4294968320 is an apocalyptic number.

4294968320 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 4294968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166865452).

4294968320 is an abundant number, since it is smaller than the sum of its proper divisors (6038762584).

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

4294968320 is a wasteful number, since it uses less digits than its factorization.

4294968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The square root of 4294968320 is about 65536.0078124995. The cubic root of 4294968320 is about 1625.4988063985.

The spelling of 4294968320 in words is "four billion, two hundred ninety-four million, nine hundred sixty-eight thousand, three hundred twenty".