335219040 has 384 divisors, whose sum is σ = 1300561920. Its totient is φ = 80123904.

The previous prime is 335218991. The next prime is 335219047. The reversal of 335219040 is 40912533.

It is a super-2 number, since 2×335219040² = 224743609557043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 335218995 and 335219013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335219047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2639457 + ... + 2639583.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^335219040 is an apocalyptic number.

335219040 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 335219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650280960).

335219040 is an abundant number, since it is smaller than the sum of its proper divisors (965342880).

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

335219040 is a wasteful number, since it uses less digits than its factorization.

335219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 335219040 is about 18308.9879567386. The cubic root of 335219040 is about 694.6662925315. Note that the first 3 decimals are identical.

The spelling of 335219040 in words is "three hundred thirty-five million, two hundred nineteen thousand, forty".