4284420480 has 256 divisors, whose sum is σ = 15366340800. Its totient is φ = 1142138880.

The previous prime is 4284420479. The next prime is 4284420533. The reversal of 4284420480 is 840244824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1398150 + ... + 1401210.

Almost surely, 2^4284420480 is an apocalyptic number.

4284420480 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 4284420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683170400).

4284420480 is an abundant number, since it is smaller than the sum of its proper divisors (11081920320).

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

4284420480 is an frugal number, since it uses more digits than its factorization.

4284420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4284420480 is about 65455.4847205335. The cubic root of 4284420480 is about 1624.1670498808.

It can be divided in two parts, 4284420 and 480, that added together give a square (4284900 = 2070²).

The spelling of 4284420480 in words is "four billion, two hundred eighty-four million, four hundred twenty thousand, four hundred eighty".