334440 has 48 divisors (see below), whose sum is σ = 1088100. Its totient is φ = 89088.

The previous prime is 334429. The next prime is 334447. The reversal of 334440 is 44433.

It can be written as a sum of positive squares in 2 ways, for example, as 285156 + 49284 = 534^2 + 222^2 .

It is a super-2 number, since 2×334440² = 223700227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 334440.

It is not an unprimeable number, because it can be changed into a prime (334447) by changing a digit.

334440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105 + ... + 824.

2³³⁴⁴⁴⁰ is an apocalyptic number.

334440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544050).

334440 is an abundant number, since it is smaller than the sum of its proper divisors (753660).

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

334440 is a wasteful number, since it uses less digits than its factorization.

334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 334440 is about 578.3078764810. The cubic root of 334440 is about 69.4127746556.

Adding to 334440 its reverse (44433), we get a palindrome (378873).

It can be divided in two parts, 3 and 34440, that added together give a palindrome (34443).

The spelling of 334440 in words is "three hundred thirty-four thousand, four hundred forty".