335040 has 56 divisors (see below), whose sum is σ = 1066800. Its totient is φ = 89088.

The previous prime is 335033. The next prime is 335047. The reversal of 335040 is 40533.

It is an interprime number because it is at equal distance from previous prime (335033) and next prime (335047).

It is a super-2 number, since 2×335040² = 224503603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (335047) by changing a digit.

335040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 786 + ... + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (19050).

2³³⁵⁰⁴⁰ is an apocalyptic number.

335040 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 335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533400).

335040 is an abundant number, since it is smaller than the sum of its proper divisors (731760).

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

335040 is a wasteful number, since it uses less digits than its factorization.

335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 335040 is about 578.8263988451. The cubic root of 335040 is about 69.4542597089.

Adding to 335040 its reverse (40533), we get a palindrome (375573).

The spelling of 335040 in words is "three hundred thirty-five thousand, forty".