4282274304 has 560 divisors, whose sum is σ = 16101201600. Its totient is φ = 1104814080.

The previous prime is 4282274303. The next prime is 4282274317. The reversal of 4282274304 is 4034722824.

4282274304 is a `hidden beast` number, since 4 + 2 + 82 + 274 + 304 = 666.

4282274304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4282274303) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28740022 + ... + 28740170.

Almost surely, 2^4282274304 is an apocalyptic number.

4282274304 is a gapful number since it is divisible by the number (44) 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 4282274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8050600800).

4282274304 is an abundant number, since it is smaller than the sum of its proper divisors (11818927296).

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

4282274304 is an equidigital number, since it uses as much as digits as its factorization.

4282274304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4282274304 is about 65439.0885022094. The cubic root of 4282274304 is about 1623.8958089545.

The spelling of 4282274304 in words is "four billion, two hundred eighty-two million, two hundred seventy-four thousand, three hundred four".