4285470672 has 160 divisors (see below), whose sum is σ = 14798259200. Its totient is φ = 1159961472.

The previous prime is 4285470643. The next prime is 4285470697. The reversal of 4285470672 is 2760745824.

It is a happy number.

4285470672 is a `hidden beast` number, since 42 + 8 + 547 + 0 + 67 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20163 + ... + 94749.

It is an arithmetic number, because the mean of its divisors is an integer number (92489120).

Almost surely, 2^4285470672 is an apocalyptic number.

4285470672 is a gapful number since it is divisible by the number (42) 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 4285470672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399129600).

4285470672 is an abundant number, since it is smaller than the sum of its proper divisors (10512788528).

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

4285470672 is a wasteful number, since it uses less digits than its factorization.

4285470672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74630 (or 74618 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4285470672 is about 65463.5064138792. The cubic root of 4285470672 is about 1624.2997436647.

It can be divided in two parts, 42854 and 70672, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 4285470672 in words is "four billion, two hundred eighty-five million, four hundred seventy thousand, six hundred seventy-two".