4455829504 has 117 divisors (see below), whose sum is σ = 10435391337. Its totient is φ = 1896824832.

The previous prime is 4455829493. The next prime is 4455829507. The reversal of 4455829504 is 4059285544.

The square root of 4455829504 is 66752.

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

It can be written as a sum of positive squares in only one way, i.e., 522031104 + 3933798400 = 22848^2 + 62720^2 .

It is not an unprimeable number, because it can be changed into a prime (4455829507) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29904822 + ... + 29904970.

Almost surely, 2^4455829504 is an apocalyptic number.

4455829504 is the 66752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4455829504

4455829504 is an abundant number, since it is smaller than the sum of its proper divisors (5979561833).

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

4455829504 is an frugal number, since it uses more digits than its factorization.

4455829504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The cubic root of 4455829504 is about 1645.5440843971.

The spelling of 4455829504 in words is "four billion, four hundred fifty-five million, eight hundred twenty-nine thousand, five hundred four".