335540420 has 48 divisors (see below), whose sum is σ = 728139888. Its totient is φ = 129784320.

The previous prime is 335540417. The next prime is 335540423. The reversal of 335540420 is 24045533.

It is an interprime number because it is at equal distance from previous prime (335540417) and next prime (335540423).

It can be written as a sum of positive squares in 8 ways, for example, as 98565184 + 236975236 = 9928^2 + 15394^2 .

It is a super-3 number, since 3×335540420³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 335540420.

It is not an unprimeable number, because it can be changed into a prime (335540423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126710 + ... + 129330.

It is an arithmetic number, because the mean of its divisors is an integer number (15169581).

Almost surely, 2^335540420 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 335540420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364069944).

335540420 is an abundant number, since it is smaller than the sum of its proper divisors (392599468).

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

335540420 is a wasteful number, since it uses less digits than its factorization.

335540420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 335540420 is about 18317.7624179374. The cubic root of 335540420 is about 694.8882176207. Note that the first 3 decimals are identical.

Adding to 335540420 its reverse (24045533), we get a palindrome (359585953).

The spelling of 335540420 in words is "three hundred thirty-five million, five hundred forty thousand, four hundred twenty".