4284060480 has 672 divisors, whose sum is σ = 17733800448. Its totient is φ = 928972800.

The previous prime is 4284060457. The next prime is 4284060493. The reversal of 4284060480 is 840604824.

4284060480 is a `hidden beast` number, since 4 + 2 + 8 + 40 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 58685724 + ... + 58685796.

It is an arithmetic number, because the mean of its divisors is an integer number (26389584).

Almost surely, 2^4284060480 is an apocalyptic number.

4284060480 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 4284060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866900224).

4284060480 is an abundant number, since it is smaller than the sum of its proper divisors (13449739968).

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

4284060480 is a wasteful number, since it uses less digits than its factorization.

4284060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4284060480 is about 65452.7347022262. The cubic root of 4284060480 is about 1624.1215581962.

The spelling of 4284060480 in words is "four billion, two hundred eighty-four million, sixty thousand, four hundred eighty".