4332272400 has 135 divisors (see below), whose sum is σ = 15047905951. Its totient is φ = 1154219520.

The previous prime is 4332272369. The next prime is 4332272411. The reversal of 4332272400 is 42722334.

The square root of 4332272400 is 65820.

It is a perfect power (a square), and thus also a powerful number.

4332272400 is a `hidden beast` number, since 4 + 33 + 227 + 2 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 551498256 + 3780774144 = 23484^2 + 61488^2 .

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 Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3948652 + ... + 3949748.

Almost surely, 2^4332272400 is an apocalyptic number.

4332272400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4332272400 is the 65820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332272400

4332272400 is an abundant number, since it is smaller than the sum of its proper divisors (10715633551).

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

4332272400 is a wasteful number, since it uses less digits than its factorization.

4332272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The cubic root of 4332272400 is about 1630.1913534495.

Adding to 4332272400 its reverse (42722334), we get a palindrome (4374994734).

The spelling of 4332272400 in words is "four billion, three hundred thirty-two million, two hundred seventy-two thousand, four hundred".