333421120 has 224 divisors, whose sum is σ = 907084800. Its totient is φ = 116121600.

The previous prime is 333421093. The next prime is 333421129. The reversal of 333421120 is 21124333.

It is a super-2 number, since 2×333421120² = 222339286524108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (333421129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5465890 + ... + 5465950.

Almost surely, 2^333421120 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 333421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453542400).

333421120 is an abundant number, since it is smaller than the sum of its proper divisors (573663680).

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

333421120 is a wasteful number, since it uses less digits than its factorization.

333421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 333421120 is about 18259.8225621171. The cubic root of 333421120 is about 693.4221368831.

Adding to 333421120 its reverse (21124333), we get a palindrome (354545453).

The spelling of 333421120 in words is "three hundred thirty-three million, four hundred twenty-one thousand, one hundred twenty".