333133040 has 80 divisors (see below), whose sum is σ = 800493408. Its totient is φ = 128851968.

The previous prime is 333133019. The next prime is 333133069. The reversal of 333133040 is 40331333.

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

It is a super-2 number, since 2×333133040² = 221955244679283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388292 + ... + 389148.

Almost surely, 2^333133040 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 333133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400246704).

333133040 is an abundant number, since it is smaller than the sum of its proper divisors (467360368).

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

333133040 is a wasteful number, since it uses less digits than its factorization.

333133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 333133040 is about 18251.9325004231. The cubic root of 333133040 is about 693.2223708846. Note that the first 3 decimals are identical.

Adding to 333133040 its reverse (40331333), we get a palindrome (373464373).

The spelling of 333133040 in words is "three hundred thirty-three million, one hundred thirty-three thousand, forty".