335978940 has 96 divisors (see below), whose sum is σ = 1070931456. Its totient is φ = 77904640.

The previous prime is 335978879. The next prime is 335978959. The reversal of 335978940 is 49879533.

It is a super-3 number, since 3×335978940³ (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 335978940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4114 + ... + 26246.

It is an arithmetic number, because the mean of its divisors is an integer number (11155536).

Almost surely, 2^335978940 is an apocalyptic number.

335978940 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 335978940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535465728).

335978940 is an abundant number, since it is smaller than the sum of its proper divisors (734952516).

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

335978940 is a wasteful number, since it uses less digits than its factorization.

335978940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22179 (or 22177 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 335978940 is about 18329.7283122255. The cubic root of 335978940 is about 695.1908038482.

The spelling of 335978940 in words is "three hundred thirty-five million, nine hundred seventy-eight thousand, nine hundred forty".