4286664480 has 384 divisors, whose sum is σ = 16460236800. Its totient is φ = 915922944.

The previous prime is 4286664439. The next prime is 4286664497. The reversal of 4286664480 is 844666824.

4286664480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5298316 + ... + 5299124.

It is an arithmetic number, because the mean of its divisors is an integer number (42865200).

Almost surely, 2^4286664480 is an apocalyptic number.

4286664480 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 4286664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230118400).

4286664480 is an abundant number, since it is smaller than the sum of its proper divisors (12173572320).

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

4286664480 is a wasteful number, since it uses less digits than its factorization.

4286664480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The square root of 4286664480 is about 65472.6238973206. The cubic root of 4286664480 is about 1624.4505572816.

The spelling of 4286664480 in words is "four billion, two hundred eighty-six million, six hundred sixty-four thousand, four hundred eighty".