333133420 has 48 divisors (see below), whose sum is σ = 712454400. Its totient is φ = 130818240.

The previous prime is 333133417. The next prime is 333133453. The reversal of 333133420 is 24331333.

It is a super-2 number, since 2×333133420² = 221955751041792800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333133391 and 333133400.

It is an unprimeable number.

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, 537871 + ... + 538489.

It is an arithmetic number, because the mean of its divisors is an integer number (14842800).

Almost surely, 2^333133420 is an apocalyptic number.

It is an amenable number.

333133420 is an abundant number, since it is smaller than the sum of its proper divisors (379320980).

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

333133420 is a wasteful number, since it uses less digits than its factorization.

333133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 333133420 is about 18251.9429102767. The cubic root of 333133420 is about 693.2226344674. Note that the first 3 decimals are identical.

Adding to 333133420 its reverse (24331333), we get a palindrome (357464753).

The spelling of 333133420 in words is "three hundred thirty-three million, one hundred thirty-three thousand, four hundred twenty".