4282229952 has 504 divisors, whose sum is σ = 16790194512. Its totient is φ = 1025740800.

The previous prime is 4282229947. The next prime is 4282229957. The reversal of 4282229952 is 2599222824.

It is an interprime number because it is at equal distance from previous prime (4282229947) and next prime (4282229957).

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 4282229898 and 4282229907.

It is not an unprimeable number, because it can be changed into a prime (4282229957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4035502 + ... + 4036562.

It is an arithmetic number, because the mean of its divisors is an integer number (33313878).

Almost surely, 2^4282229952 is an apocalyptic number.

4282229952 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 4282229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395097256).

4282229952 is an abundant number, since it is smaller than the sum of its proper divisors (12507964560).

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

4282229952 is a wasteful number, since it uses less digits than its factorization.

4282229952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1097 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 4282229952 is about 65438.7496213062. The cubic root of 4282229952 is about 1623.8902026442.

The spelling of 4282229952 in words is "four billion, two hundred eighty-two million, two hundred twenty-nine thousand, nine hundred fifty-two".