353440000 has 135 divisors (see below), whose sum is σ = 900748387. Its totient is φ = 138368000.

The previous prime is 353439997. The next prime is 353440007. The reversal of 353440000 is 44353.

The square root of 353440000 is 18800.

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

It can be written as a sum of positive squares in 2 ways, for example, as 27709696 + 325730304 = 5264^2 + 18048^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 353440000.

It is not an unprimeable number, because it can be changed into a prime (353440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7519977 + ... + 7520023.

Almost surely, 2^353440000 is an apocalyptic number.

353440000 is the 18800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353440000

353440000 is an abundant number, since it is smaller than the sum of its proper divisors (547308387).

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

353440000 is an frugal number, since it uses more digits than its factorization.

353440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The cubic root of 353440000 is about 707.0311793749.

Adding to 353440000 its reverse (44353), we get a palindrome (353484353).

It can be divided in two parts, 3534 and 40000, that added together give a palindrome (43534).

The spelling of 353440000 in words is "three hundred fifty-three million, four hundred forty thousand".