4285630272 has 504 divisors, whose sum is σ = 15239195328. Its totient is φ = 1040117760.

The previous prime is 4285630267. The next prime is 4285630289. The reversal of 4285630272 is 2720365824.

It is a self number, because there is not a number n which added to its sum of digits gives 4285630272.

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 71 ways as a sum of consecutive naturals, for example, 58707228 + ... + 58707300.

Almost surely, 2^4285630272 is an apocalyptic number.

4285630272 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 4285630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619597664).

4285630272 is an abundant number, since it is smaller than the sum of its proper divisors (10953565056).

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

4285630272 is a wasteful number, since it uses less digits than its factorization.

4285630272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 4285630272 is about 65464.7254023111. The cubic root of 4285630272 is about 1624.3199075347.

The spelling of 4285630272 in words is "four billion, two hundred eighty-five million, six hundred thirty thousand, two hundred seventy-two".