439740900 has 135 divisors (see below), whose sum is σ = 1431610411. Its totient is φ = 116760960.

The previous prime is 439740881. The next prime is 439740907. The reversal of 439740900 is 9047934.

The square root of 439740900 is 20970.

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 86601636 + 353139264 = 9306^2 + 18792^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (439740907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1887184 + ... + 1887416.

Almost surely, 2^439740900 is an apocalyptic number.

439740900 is the 20970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 439740900

439740900 is an abundant number, since it is smaller than the sum of its proper divisors (991869511).

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

439740900 is a wasteful number, since it uses less digits than its factorization.

439740900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 439740900 is about 760.4411681436.

Multiplying 439740900 by its sum of digits (36), we get a square (15830672400 = 125820²).

439740900 divided by its sum of digits (36) gives a square (12215025 = 3495²).

The spelling of 439740900 in words is "four hundred thirty-nine million, seven hundred forty thousand, nine hundred".