4532224320 has 224 divisors, whose sum is σ = 17219005440. Its totient is φ = 1115596800.

The previous prime is 4532224309. The next prime is 4532224339. The reversal of 4532224320 is 234222354.

It is a happy number.

4532224320 is a `hidden beast` number, since 4 + 5 + 3 + 222 + 432 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92145 + ... + 132495.

It is an arithmetic number, because the mean of its divisors is an integer number (76870560).

Almost surely, 2^4532224320 is an apocalyptic number.

4532224320 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 4532224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609502720).

4532224320 is an abundant number, since it is smaller than the sum of its proper divisors (12686781120).

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

4532224320 is a wasteful number, since it uses less digits than its factorization.

4532224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40390 (or 40374 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4532224320 is about 67321.7967674660. The cubic root of 4532224320 is about 1654.8950831468.

Adding to 4532224320 its reverse (234222354), we get a palindrome (4766446674).

The spelling of 4532224320 in words is "four billion, five hundred thirty-two million, two hundred twenty-four thousand, three hundred twenty".