4283979264 has 240 divisors, whose sum is σ = 13083662592. Its totient is φ = 1346678784.

The previous prime is 4283979221. The next prime is 4283979269. The reversal of 4283979264 is 4629793824.

It is a self number, because there is not a number n which added to its sum of digits gives 4283979264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4283979269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8796429 + ... + 8796915.

Almost surely, 2^4283979264 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 4283979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541831296).

4283979264 is an abundant number, since it is smaller than the sum of its proper divisors (8799683328).

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

4283979264 is a wasteful number, since it uses less digits than its factorization.

4283979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 598 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4283979264 is about 65452.1142821223. The cubic root of 4283979264 is about 1624.1112949198. Note that the first 3 decimals are identical.

The spelling of 4283979264 in words is "four billion, two hundred eighty-three million, nine hundred seventy-nine thousand, two hundred sixty-four".