439874032900 has 81 divisors (see below), whose sum is σ = 989008801599. Its totient is φ = 169808103360.

The previous prime is 439874032883. The next prime is 439874032901. The reversal of 439874032900 is 9230478934.

It is a happy number.

The square root of 439874032900 is 663230.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6046306564 + 433827726336 = 77758^2 + 658656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (439874032901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 192335557 + ... + 192337843.

Almost surely, 2^439874032900 is an apocalyptic number.

439874032900 is the 663230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 439874032900

439874032900 is an abundant number, since it is smaller than the sum of its proper divisors (549134768699).

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

439874032900 is an equidigital number, since it uses as much as digits as its factorization.

439874032900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 439874032900 by its sum of digits (49), we get a square (21553827612100 = 4642610²).

The spelling of 439874032900 in words is "four hundred thirty-nine billion, eight hundred seventy-four million, thirty-two thousand, nine hundred".