334541440 has 64 divisors (see below), whose sum is σ = 834572160. Its totient is φ = 127992832.

The previous prime is 334541413. The next prime is 334541443. The reversal of 334541440 is 44145433.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×334541440² = 223835950154547200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334541399 and 334541408.

It is not an unprimeable number, because it can be changed into a prime (334541443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3357 + ... + 26083.

It is an arithmetic number, because the mean of its divisors is an integer number (13040190).

Almost surely, 2^334541440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417286080).

334541440 is an abundant number, since it is smaller than the sum of its proper divisors (500030720).

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

334541440 is a wasteful number, since it uses less digits than its factorization.

334541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22769 (or 22757 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 334541440 is about 18290.4740233817. The cubic root of 334541440 is about 694.1979187855.

Adding to 334541440 its reverse (44145433), we get a palindrome (378686873).

The spelling of 334541440 in words is "three hundred thirty-four million, five hundred forty-one thousand, four hundred forty".