4233604320 has 576 divisors, whose sum is σ = 17237525760. Its totient is φ = 970444800.

The previous prime is 4233604303. The next prime is 4233604321. The reversal of 4233604320 is 234063324.

It is a happy number.

4233604320 is a `hidden beast` number, since 4 + 2 + 33 + 604 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233604321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8125660 + ... + 8126180.

It is an arithmetic number, because the mean of its divisors is an integer number (29926260).

Almost surely, 2^4233604320 is an apocalyptic number.

4233604320 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 4233604320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618762880).

4233604320 is an abundant number, since it is smaller than the sum of its proper divisors (13003921440).

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

4233604320 is a wasteful number, since it uses less digits than its factorization.

4233604320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 4233604320 is about 65066.1534132762. The cubic root of 4233604320 is about 1617.7202501101.

Adding to 4233604320 its reverse (234063324), we get a palindrome (4467667644).

The spelling of 4233604320 in words is "four billion, two hundred thirty-three million, six hundred four thousand, three hundred twenty".