4302234400 has 72 divisors (see below), whose sum is σ = 10512334980. Its totient is φ = 1719336960.

The previous prime is 4302234389. The next prime is 4302234401. The reversal of 4302234400 is 44322034.

It can be written as a sum of positive squares in 6 ways, for example, as 3474866704 + 827367696 = 58948^2 + 28764^2 .

It is not an unprimeable number, because it can be changed into a prime (4302234401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356016 + ... + 1359184.

Almost surely, 2^4302234400 is an apocalyptic number.

4302234400 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 4302234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256167490).

4302234400 is an abundant number, since it is smaller than the sum of its proper divisors (6210100580).

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

4302234400 is a wasteful number, since it uses less digits than its factorization.

4302234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4302234400 is about 65591.4201706290. The cubic root of 4302234400 is about 1626.4149443267.

Adding to 4302234400 its reverse (44322034), we get a palindrome (4346556434).

The spelling of 4302234400 in words is "four billion, three hundred two million, two hundred thirty-four thousand, four hundred".