4772282000 has 80 divisors (see below), whose sum is σ = 11588429424. Its totient is φ = 1900800000.

The previous prime is 4772281999. The next prime is 4772282027. The reversal of 4772282000 is 2822774.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 155351296 + 4616930704 = 12464^2 + 67948^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477050 + ... + 486950.

Almost surely, 2^4772282000 is an apocalyptic number.

4772282000 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 4772282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794214712).

4772282000 is an abundant number, since it is smaller than the sum of its proper divisors (6816147424).

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

4772282000 is a wasteful number, since it uses less digits than its factorization.

4772282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10165 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 4772282000 is about 69081.7052482059. The cubic root of 4772282000 is about 1683.6120790125.

The spelling of 4772282000 in words is "four billion, seven hundred seventy-two million, two hundred eighty-two thousand".