335133040 has 80 divisors (see below), whose sum is σ = 853132896. Its totient is φ = 121420800.

The previous prime is 335133037. The next prime is 335133047. The reversal of 335133040 is 40331533.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×335133040² = 224628308999283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335133047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327730 + ... + 328750.

Almost surely, 2^335133040 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 335133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426566448).

335133040 is an abundant number, since it is smaller than the sum of its proper divisors (517999856).

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

335133040 is a wasteful number, since it uses less digits than its factorization.

335133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 335133040 is about 18306.6392328029. The cubic root of 335133040 is about 694.6068822121.

Adding to 335133040 its reverse (40331533), we get a palindrome (375464573).

The spelling of 335133040 in words is "three hundred thirty-five million, one hundred thirty-three thousand, forty".